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Finding the Fourth Proportional to 1,139.97, 1,573.05 and 642.69

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Solution

The fourth proportional to 1,139.97, 1,573.05 and 642.69 is: 886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.97 : 1,573.05 = 642.69 : x
  2. Step 2: Convert to fraction form
    1,139.97/1,573.05 = 642.69/x
  3. Step 3: Cross multiply
    1,139.97x = 1,573.05 × 642.69
  4. Step 4: Simplify right side
    1,139.97x = 1,010,985.91
  5. Step 5: Solve for x
    x = 1,010,985.91/1,139.97
  6. Step 6: Final answer
    x = 886.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.