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Finding the Fourth Proportional to 807.86, 1,115.03 and 458.75

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Solution

The fourth proportional to 807.86, 1,115.03 and 458.75 is: 633.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.86 : 1,115.03 = 458.75 : x
  2. Step 2: Convert to fraction form
    807.86/1,115.03 = 458.75/x
  3. Step 3: Cross multiply
    807.86x = 1,115.03 × 458.75
  4. Step 4: Simplify right side
    807.86x = 511,512.14
  5. Step 5: Solve for x
    x = 511,512.14/807.86
  6. Step 6: Final answer
    x = 633.17

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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.