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Finding the Fourth Proportional to 1,139.83, 1,572.95 and 642.56

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Solution

The fourth proportional to 1,139.83, 1,572.95 and 642.56 is: 886.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.83 : 1,572.95 = 642.56 : x
  2. Step 2: Convert to fraction form
    1,139.83/1,572.95 = 642.56/x
  3. Step 3: Cross multiply
    1,139.83x = 1,572.95 × 642.56
  4. Step 4: Simplify right side
    1,139.83x = 1,010,708.49
  5. Step 5: Solve for x
    x = 1,010,708.49/1,139.83
  6. Step 6: Final answer
    x = 886.72

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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.