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Finding the Fourth Proportional to 1,139.24, 1,572.08 and 641.90

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Solution

The fourth proportional to 1,139.24, 1,572.08 and 641.90 is: 885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.24 : 1,572.08 = 641.90 : x
  2. Step 2: Convert to fraction form
    1,139.24/1,572.08 = 641.90/x
  3. Step 3: Cross multiply
    1,139.24x = 1,572.08 × 641.90
  4. Step 4: Simplify right side
    1,139.24x = 1,009,118.15
  5. Step 5: Solve for x
    x = 1,009,118.15/1,139.24
  6. Step 6: Final answer
    x = 885.78

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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.