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Finding the Fourth Proportional to 807.90, 1,134.30 and 807.90

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Solution

The fourth proportional to 807.90, 1,134.30 and 807.90 is: 1,134.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.90 : 1,134.30 = 807.90 : x
  2. Step 2: Convert to fraction form
    807.90/1,134.30 = 807.90/x
  3. Step 3: Cross multiply
    807.90x = 1,134.30 × 807.90
  4. Step 4: Simplify right side
    807.90x = 916,400.97
  5. Step 5: Solve for x
    x = 916,400.97/807.90
  6. Step 6: Final answer
    x = 1,134.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.