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Finding the Fourth Proportional to 1,139.25, 1,572.15 and 642.05

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Solution

The fourth proportional to 1,139.25, 1,572.15 and 642.05 is: 886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.25 : 1,572.15 = 642.05 : x
  2. Step 2: Convert to fraction form
    1,139.25/1,572.15 = 642.05/x
  3. Step 3: Cross multiply
    1,139.25x = 1,572.15 × 642.05
  4. Step 4: Simplify right side
    1,139.25x = 1,009,396.58
  5. Step 5: Solve for x
    x = 1,009,396.58/1,139.25
  6. Step 6: Final answer
    x = 886.02

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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.