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Finding the Fourth Proportional to 1,139.82, 1,572.93 and 642.62

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Solution

The fourth proportional to 1,139.82, 1,572.93 and 642.62 is: 886.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.82 : 1,572.93 = 642.62 : x
  2. Step 2: Convert to fraction form
    1,139.82/1,572.93 = 642.62/x
  3. Step 3: Cross multiply
    1,139.82x = 1,572.93 × 642.62
  4. Step 4: Simplify right side
    1,139.82x = 1,010,790.02
  5. Step 5: Solve for x
    x = 1,010,790.02/1,139.82
  6. Step 6: Final answer
    x = 886.80

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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.