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Finding the Fourth Proportional to 1,053.91, 1,580.33 and 592.01

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Solution

The fourth proportional to 1,053.91, 1,580.33 and 592.01 is: 887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.91 : 1,580.33 = 592.01 : x
  2. Step 2: Convert to fraction form
    1,053.91/1,580.33 = 592.01/x
  3. Step 3: Cross multiply
    1,053.91x = 1,580.33 × 592.01
  4. Step 4: Simplify right side
    1,053.91x = 935,560.30
  5. Step 5: Solve for x
    x = 935,560.30/1,053.91
  6. Step 6: Final answer
    x = 887.71

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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.