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Finding the Fourth Proportional to 1,169.60, 1,614.22 and 1,045.92

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Solution

The fourth proportional to 1,169.60, 1,614.22 and 1,045.92 is: 1,443.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.60 : 1,614.22 = 1,045.92 : x
  2. Step 2: Convert to fraction form
    1,169.60/1,614.22 = 1,045.92/x
  3. Step 3: Cross multiply
    1,169.60x = 1,614.22 × 1,045.92
  4. Step 4: Simplify right side
    1,169.60x = 1,688,344.98
  5. Step 5: Solve for x
    x = 1,688,344.98/1,169.60
  6. Step 6: Final answer
    x = 1,443.52

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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.