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Finding the Fourth Proportional to 873.56, 1,205.47 and 524.18

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Solution

The fourth proportional to 873.56, 1,205.47 and 524.18 is: 723.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.56 : 1,205.47 = 524.18 : x
  2. Step 2: Convert to fraction form
    873.56/1,205.47 = 524.18/x
  3. Step 3: Cross multiply
    873.56x = 1,205.47 × 524.18
  4. Step 4: Simplify right side
    873.56x = 631,883.26
  5. Step 5: Solve for x
    x = 631,883.26/873.56
  6. Step 6: Final answer
    x = 723.34

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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.