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Finding the Fourth Proportional to 1,117.74, 1,542.18 and 759.46

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Solution

The fourth proportional to 1,117.74, 1,542.18 and 759.46 is: 1,047.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.74 : 1,542.18 = 759.46 : x
  2. Step 2: Convert to fraction form
    1,117.74/1,542.18 = 759.46/x
  3. Step 3: Cross multiply
    1,117.74x = 1,542.18 × 759.46
  4. Step 4: Simplify right side
    1,117.74x = 1,171,224.02
  5. Step 5: Solve for x
    x = 1,171,224.02/1,117.74
  6. Step 6: Final answer
    x = 1,047.85

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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.