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Finding the Fourth Proportional to 1,139.42, 1,572.46 and 642.14

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Solution

The fourth proportional to 1,139.42, 1,572.46 and 642.14 is: 886.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.42 : 1,572.46 = 642.14 : x
  2. Step 2: Convert to fraction form
    1,139.42/1,572.46 = 642.14/x
  3. Step 3: Cross multiply
    1,139.42x = 1,572.46 × 642.14
  4. Step 4: Simplify right side
    1,139.42x = 1,009,739.46
  5. Step 5: Solve for x
    x = 1,009,739.46/1,139.42
  6. Step 6: Final answer
    x = 886.19

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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.