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Finding the Fourth Proportional to 991.80, 1,488.18 and 580.44

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Solution

The fourth proportional to 991.80, 1,488.18 and 580.44 is: 870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.80 : 1,488.18 = 580.44 : x
  2. Step 2: Convert to fraction form
    991.80/1,488.18 = 580.44/x
  3. Step 3: Cross multiply
    991.80x = 1,488.18 × 580.44
  4. Step 4: Simplify right side
    991.80x = 863,799.20
  5. Step 5: Solve for x
    x = 863,799.20/991.80
  6. Step 6: Final answer
    x = 870.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.