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Finding the Fourth Proportional to 1,114.83, 1,538.39 and 642.74

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Solution

The fourth proportional to 1,114.83, 1,538.39 and 642.74 is: 886.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.83 : 1,538.39 = 642.74 : x
  2. Step 2: Convert to fraction form
    1,114.83/1,538.39 = 642.74/x
  3. Step 3: Cross multiply
    1,114.83x = 1,538.39 × 642.74
  4. Step 4: Simplify right side
    1,114.83x = 988,778.70
  5. Step 5: Solve for x
    x = 988,778.70/1,114.83
  6. Step 6: Final answer
    x = 886.93

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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.