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Finding the Fourth Proportional to 920.32, 1,381.02 and 487.72

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Solution

The fourth proportional to 920.32, 1,381.02 and 487.72 is: 731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.32 : 1,381.02 = 487.72 : x
  2. Step 2: Convert to fraction form
    920.32/1,381.02 = 487.72/x
  3. Step 3: Cross multiply
    920.32x = 1,381.02 × 487.72
  4. Step 4: Simplify right side
    920.32x = 673,551.07
  5. Step 5: Solve for x
    x = 673,551.07/920.32
  6. Step 6: Final answer
    x = 731.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.