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Finding the Fourth Proportional to 724.14, 998.73 and 515.01

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Solution

The fourth proportional to 724.14, 998.73 and 515.01 is: 710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.14 : 998.73 = 515.01 : x
  2. Step 2: Convert to fraction form
    724.14/998.73 = 515.01/x
  3. Step 3: Cross multiply
    724.14x = 998.73 × 515.01
  4. Step 4: Simplify right side
    724.14x = 514,354.06
  5. Step 5: Solve for x
    x = 514,354.06/724.14
  6. Step 6: Final answer
    x = 710.30

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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.