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Finding the Fourth Proportional to 725.64, 1,000.50 and 632.04

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Solution

The fourth proportional to 725.64, 1,000.50 and 632.04 is: 871.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    725.64 : 1,000.50 = 632.04 : x
  2. Step 2: Convert to fraction form
    725.64/1,000.50 = 632.04/x
  3. Step 3: Cross multiply
    725.64x = 1,000.50 × 632.04
  4. Step 4: Simplify right side
    725.64x = 632,356.02
  5. Step 5: Solve for x
    x = 632,356.02/725.64
  6. Step 6: Final answer
    x = 871.45

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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.