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Finding the Fourth Proportional to 807.26, 1,114.02 and 457.88

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Solution

The fourth proportional to 807.26, 1,114.02 and 457.88 is: 631.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.26 : 1,114.02 = 457.88 : x
  2. Step 2: Convert to fraction form
    807.26/1,114.02 = 457.88/x
  3. Step 3: Cross multiply
    807.26x = 1,114.02 × 457.88
  4. Step 4: Simplify right side
    807.26x = 510,081.91
  5. Step 5: Solve for x
    x = 510,081.91/807.26
  6. Step 6: Final answer
    x = 631.87

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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.