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Finding the Fourth Proportional to 871.90, 1,308.74 and 460.96

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Solution

The fourth proportional to 871.90, 1,308.74 and 460.96 is: 691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    871.90 : 1,308.74 = 460.96 : x
  2. Step 2: Convert to fraction form
    871.90/1,308.74 = 460.96/x
  3. Step 3: Cross multiply
    871.90x = 1,308.74 × 460.96
  4. Step 4: Simplify right side
    871.90x = 603,276.79
  5. Step 5: Solve for x
    x = 603,276.79/871.90
  6. Step 6: Final answer
    x = 691.91

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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.