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Finding the Fourth Proportional to 925.47, 1,278.11 and 800.53

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Solution

The fourth proportional to 925.47, 1,278.11 and 800.53 is: 1,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.47 : 1,278.11 = 800.53 : x
  2. Step 2: Convert to fraction form
    925.47/1,278.11 = 800.53/x
  3. Step 3: Cross multiply
    925.47x = 1,278.11 × 800.53
  4. Step 4: Simplify right side
    925.47x = 1,023,161.40
  5. Step 5: Solve for x
    x = 1,023,161.40/925.47
  6. Step 6: Final answer
    x = 1,105.56

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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.