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Finding the Fourth Proportional to 807.14, 1,209.68 and 514.53

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Solution

The fourth proportional to 807.14, 1,209.68 and 514.53 is: 771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.14 : 1,209.68 = 514.53 : x
  2. Step 2: Convert to fraction form
    807.14/1,209.68 = 514.53/x
  3. Step 3: Cross multiply
    807.14x = 1,209.68 × 514.53
  4. Step 4: Simplify right side
    807.14x = 622,423.15
  5. Step 5: Solve for x
    x = 622,423.15/807.14
  6. Step 6: Final answer
    x = 771.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.