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Finding the Fourth Proportional to 724.02, 1,000.28 and 475.24

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Solution

The fourth proportional to 724.02, 1,000.28 and 475.24 is: 656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.02 : 1,000.28 = 475.24 : x
  2. Step 2: Convert to fraction form
    724.02/1,000.28 = 475.24/x
  3. Step 3: Cross multiply
    724.02x = 1,000.28 × 475.24
  4. Step 4: Simplify right side
    724.02x = 475,373.07
  5. Step 5: Solve for x
    x = 475,373.07/724.02
  6. Step 6: Final answer
    x = 656.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.