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Finding the Fourth Proportional to 871.73, 1,307.90 and 546.71

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Solution

The fourth proportional to 871.73, 1,307.90 and 546.71 is: 820.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.73 : 1,307.90 = 546.71 : x
  2. Step 2: Convert to fraction form
    871.73/1,307.90 = 546.71/x
  3. Step 3: Cross multiply
    871.73x = 1,307.90 × 546.71
  4. Step 4: Simplify right side
    871.73x = 715,039.28
  5. Step 5: Solve for x
    x = 715,039.28/871.73
  6. Step 6: Final answer
    x = 820.25

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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.