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Finding the Fourth Proportional to 1,022.91, 1,531.02 and 748.94

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Solution

The fourth proportional to 1,022.91, 1,531.02 and 748.94 is: 1,120.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.91 : 1,531.02 = 748.94 : x
  2. Step 2: Convert to fraction form
    1,022.91/1,531.02 = 748.94/x
  3. Step 3: Cross multiply
    1,022.91x = 1,531.02 × 748.94
  4. Step 4: Simplify right side
    1,022.91x = 1,146,634.46
  5. Step 5: Solve for x
    x = 1,146,634.46/1,022.91
  6. Step 6: Final answer
    x = 1,120.95

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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.