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Finding the Fourth Proportional to 1,053.30, 1,579.42 and 614.71

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Solution

The fourth proportional to 1,053.30, 1,579.42 and 614.71 is: 921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.30 : 1,579.42 = 614.71 : x
  2. Step 2: Convert to fraction form
    1,053.30/1,579.42 = 614.71/x
  3. Step 3: Cross multiply
    1,053.30x = 1,579.42 × 614.71
  4. Step 4: Simplify right side
    1,053.30x = 970,885.27
  5. Step 5: Solve for x
    x = 970,885.27/1,053.30
  6. Step 6: Final answer
    x = 921.76

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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.