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Finding the Fourth Proportional to 724.14, 1,085.40 and 435.78

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Solution

The fourth proportional to 724.14, 1,085.40 and 435.78 is: 653.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 1,085.40 = 435.78 : x
  2. Step 2: Convert to fraction form
    724.14/1,085.40 = 435.78/x
  3. Step 3: Cross multiply
    724.14x = 1,085.40 × 435.78
  4. Step 4: Simplify right side
    724.14x = 472,995.61
  5. Step 5: Solve for x
    x = 472,995.61/724.14
  6. Step 6: Final answer
    x = 653.18

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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.