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Finding the Fourth Proportional to 991.33, 1,488.14 and 580.77

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Solution

The fourth proportional to 991.33, 1,488.14 and 580.77 is: 871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.33 : 1,488.14 = 580.77 : x
  2. Step 2: Convert to fraction form
    991.33/1,488.14 = 580.77/x
  3. Step 3: Cross multiply
    991.33x = 1,488.14 × 580.77
  4. Step 4: Simplify right side
    991.33x = 864,267.07
  5. Step 5: Solve for x
    x = 864,267.07/991.33
  6. Step 6: Final answer
    x = 871.83

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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.