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Finding the Fourth Proportional to 807.86, 1,115.10 and 458.78

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Solution

The fourth proportional to 807.86, 1,115.10 and 458.78 is: 633.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.86 : 1,115.10 = 458.78 : x
  2. Step 2: Convert to fraction form
    807.86/1,115.10 = 458.78/x
  3. Step 3: Cross multiply
    807.86x = 1,115.10 × 458.78
  4. Step 4: Simplify right side
    807.86x = 511,585.58
  5. Step 5: Solve for x
    x = 511,585.58/807.86
  6. Step 6: Final answer
    x = 633.26

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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.