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Finding the Fourth Proportional to 1,076.40, 1,614.24 and 588.96

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Solution

The fourth proportional to 1,076.40, 1,614.24 and 588.96 is: 883.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.40 : 1,614.24 = 588.96 : x
  2. Step 2: Convert to fraction form
    1,076.40/1,614.24 = 588.96/x
  3. Step 3: Cross multiply
    1,076.40x = 1,614.24 × 588.96
  4. Step 4: Simplify right side
    1,076.40x = 950,722.79
  5. Step 5: Solve for x
    x = 950,722.79/1,076.40
  6. Step 6: Final answer
    x = 883.24

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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.