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Finding the Fourth Proportional to 807.87, 1,114.92 and 458.76

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Solution

The fourth proportional to 807.87, 1,114.92 and 458.76 is: 633.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.87 : 1,114.92 = 458.76 : x
  2. Step 2: Convert to fraction form
    807.87/1,114.92 = 458.76/x
  3. Step 3: Cross multiply
    807.87x = 1,114.92 × 458.76
  4. Step 4: Simplify right side
    807.87x = 511,480.70
  5. Step 5: Solve for x
    x = 511,480.70/807.87
  6. Step 6: Final answer
    x = 633.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.