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Finding the Fourth Proportional to 872.28, 1,307.70 and 641.16

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Solution

The fourth proportional to 872.28, 1,307.70 and 641.16 is: 961.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.28 : 1,307.70 = 641.16 : x
  2. Step 2: Convert to fraction form
    872.28/1,307.70 = 641.16/x
  3. Step 3: Cross multiply
    872.28x = 1,307.70 × 641.16
  4. Step 4: Simplify right side
    872.28x = 838,444.93
  5. Step 5: Solve for x
    x = 838,444.93/872.28
  6. Step 6: Final answer
    x = 961.21

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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.