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Finding the Fourth Proportional to 807.97, 1,209.66 and 731.08

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Solution

The fourth proportional to 807.97, 1,209.66 and 731.08 is: 1,094.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.97 : 1,209.66 = 731.08 : x
  2. Step 2: Convert to fraction form
    807.97/1,209.66 = 731.08/x
  3. Step 3: Cross multiply
    807.97x = 1,209.66 × 731.08
  4. Step 4: Simplify right side
    807.97x = 884,358.23
  5. Step 5: Solve for x
    x = 884,358.23/807.97
  6. Step 6: Final answer
    x = 1,094.54

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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.