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Finding the Fourth Proportional to 873.54, 1,205.64 and 524.25

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Solution

The fourth proportional to 873.54, 1,205.64 and 524.25 is: 723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.54 : 1,205.64 = 524.25 : x
  2. Step 2: Convert to fraction form
    873.54/1,205.64 = 524.25/x
  3. Step 3: Cross multiply
    873.54x = 1,205.64 × 524.25
  4. Step 4: Simplify right side
    873.54x = 632,056.77
  5. Step 5: Solve for x
    x = 632,056.77/873.54
  6. Step 6: Final answer
    x = 723.56

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.