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Finding the Fourth Proportional to 724.32, 1,084.26 and 507.24

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Solution

The fourth proportional to 724.32, 1,084.26 and 507.24 is: 759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.32 : 1,084.26 = 507.24 : x
  2. Step 2: Convert to fraction form
    724.32/1,084.26 = 507.24/x
  3. Step 3: Cross multiply
    724.32x = 1,084.26 × 507.24
  4. Step 4: Simplify right side
    724.32x = 549,980.04
  5. Step 5: Solve for x
    x = 549,980.04/724.32
  6. Step 6: Final answer
    x = 759.31

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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.