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Finding the Fourth Proportional to 873.05, 1,309.57 and 411.01

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Solution

The fourth proportional to 873.05, 1,309.57 and 411.01 is: 616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.05 : 1,309.57 = 411.01 : x
  2. Step 2: Convert to fraction form
    873.05/1,309.57 = 411.01/x
  3. Step 3: Cross multiply
    873.05x = 1,309.57 × 411.01
  4. Step 4: Simplify right side
    873.05x = 538,242.06
  5. Step 5: Solve for x
    x = 538,242.06/873.05
  6. Step 6: Final answer
    x = 616.51

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.