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Finding the Fourth Proportional to 724.96, 1,087.48 and 470.08

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Solution

The fourth proportional to 724.96, 1,087.48 and 470.08 is: 705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.96 : 1,087.48 = 470.08 : x
  2. Step 2: Convert to fraction form
    724.96/1,087.48 = 470.08/x
  3. Step 3: Cross multiply
    724.96x = 1,087.48 × 470.08
  4. Step 4: Simplify right side
    724.96x = 511,202.60
  5. Step 5: Solve for x
    x = 511,202.60/724.96
  6. Step 6: Final answer
    x = 705.15

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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.