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Finding the Fourth Proportional to 925.78, 1,380.52 and 917.58

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Solution

The fourth proportional to 925.78, 1,380.52 and 917.58 is: 1,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.78 : 1,380.52 = 917.58 : x
  2. Step 2: Convert to fraction form
    925.78/1,380.52 = 917.58/x
  3. Step 3: Cross multiply
    925.78x = 1,380.52 × 917.58
  4. Step 4: Simplify right side
    925.78x = 1,266,737.54
  5. Step 5: Solve for x
    x = 1,266,737.54/925.78
  6. Step 6: Final answer
    x = 1,368.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.