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Finding the Fourth Proportional to 991.78, 1,487.13 and 581.92

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Solution

The fourth proportional to 991.78, 1,487.13 and 581.92 is: 872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.78 : 1,487.13 = 581.92 : x
  2. Step 2: Convert to fraction form
    991.78/1,487.13 = 581.92/x
  3. Step 3: Cross multiply
    991.78x = 1,487.13 × 581.92
  4. Step 4: Simplify right side
    991.78x = 865,390.69
  5. Step 5: Solve for x
    x = 865,390.69/991.78
  6. Step 6: Final answer
    x = 872.56

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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.