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Finding the Fourth Proportional to 991.98, 1,488.06 and 561.90

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Solution

The fourth proportional to 991.98, 1,488.06 and 561.90 is: 842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.98 : 1,488.06 = 561.90 : x
  2. Step 2: Convert to fraction form
    991.98/1,488.06 = 561.90/x
  3. Step 3: Cross multiply
    991.98x = 1,488.06 × 561.90
  4. Step 4: Simplify right side
    991.98x = 836,140.91
  5. Step 5: Solve for x
    x = 836,140.91/991.98
  6. Step 6: Final answer
    x = 842.90

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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.