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Finding the Fourth Proportional to 807.13, 1,209.80 and 345.29

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Solution

The fourth proportional to 807.13, 1,209.80 and 345.29 is: 517.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.13 : 1,209.80 = 345.29 : x
  2. Step 2: Convert to fraction form
    807.13/1,209.80 = 345.29/x
  3. Step 3: Cross multiply
    807.13x = 1,209.80 × 345.29
  4. Step 4: Simplify right side
    807.13x = 417,731.84
  5. Step 5: Solve for x
    x = 417,731.84/807.13
  6. Step 6: Final answer
    x = 517.55

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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.