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Finding the Fourth Proportional to 1,139.64, 1,572.16 and 667.54

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Solution

The fourth proportional to 1,139.64, 1,572.16 and 667.54 is: 920.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139.64 : 1,572.16 = 667.54 : x
  2. Step 2: Convert to fraction form
    1,139.64/1,572.16 = 667.54/x
  3. Step 3: Cross multiply
    1,139.64x = 1,572.16 × 667.54
  4. Step 4: Simplify right side
    1,139.64x = 1,049,479.69
  5. Step 5: Solve for x
    x = 1,049,479.69/1,139.64
  6. Step 6: Final answer
    x = 920.89

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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.