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Finding the Fourth Proportional to 1,132.14, 1,693.70 and 979.71

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Solution

The fourth proportional to 1,132.14, 1,693.70 and 979.71 is: 1,465.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.14 : 1,693.70 = 979.71 : x
  2. Step 2: Convert to fraction form
    1,132.14/1,693.70 = 979.71/x
  3. Step 3: Cross multiply
    1,132.14x = 1,693.70 × 979.71
  4. Step 4: Simplify right side
    1,132.14x = 1,659,329.93
  5. Step 5: Solve for x
    x = 1,659,329.93/1,132.14
  6. Step 6: Final answer
    x = 1,465.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.