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Finding the Fourth Proportional to 807.83, 1,115.27 and 542.75

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Solution

The fourth proportional to 807.83, 1,115.27 and 542.75 is: 749.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.83 : 1,115.27 = 542.75 : x
  2. Step 2: Convert to fraction form
    807.83/1,115.27 = 542.75/x
  3. Step 3: Cross multiply
    807.83x = 1,115.27 × 542.75
  4. Step 4: Simplify right side
    807.83x = 605,307.61
  5. Step 5: Solve for x
    x = 605,307.61/807.83
  6. Step 6: Final answer
    x = 749.30

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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.