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Finding the Fourth Proportional to 1,384.29, 2,076.98 and 614.25

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Solution

The fourth proportional to 1,384.29, 2,076.98 and 614.25 is: 921.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.29 : 2,076.98 = 614.25 : x
  2. Step 2: Convert to fraction form
    1,384.29/2,076.98 = 614.25/x
  3. Step 3: Cross multiply
    1,384.29x = 2,076.98 × 614.25
  4. Step 4: Simplify right side
    1,384.29x = 1,275,781.89
  5. Step 5: Solve for x
    x = 1,275,781.89/1,384.29
  6. Step 6: Final answer
    x = 921.61

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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.