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Finding the Fourth Proportional to 724.10, 1,085.13 and 395.03

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Solution

The fourth proportional to 724.10, 1,085.13 and 395.03 is: 592.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.10 : 1,085.13 = 395.03 : x
  2. Step 2: Convert to fraction form
    724.10/1,085.13 = 395.03/x
  3. Step 3: Cross multiply
    724.10x = 1,085.13 × 395.03
  4. Step 4: Simplify right side
    724.10x = 428,661.62
  5. Step 5: Solve for x
    x = 428,661.62/724.10
  6. Step 6: Final answer
    x = 592.00

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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.