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Finding the Fourth Proportional to 1,079.38, 1,616.64 and 1,029.16

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Solution

The fourth proportional to 1,079.38, 1,616.64 and 1,029.16 is: 1,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.38 : 1,616.64 = 1,029.16 : x
  2. Step 2: Convert to fraction form
    1,079.38/1,616.64 = 1,029.16/x
  3. Step 3: Cross multiply
    1,079.38x = 1,616.64 × 1,029.16
  4. Step 4: Simplify right side
    1,079.38x = 1,663,781.22
  5. Step 5: Solve for x
    x = 1,663,781.22/1,079.38
  6. Step 6: Final answer
    x = 1,541.42

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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.