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Finding the Fourth Proportional to 1,191.80, 1,788.24 and 498.98

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Solution

The fourth proportional to 1,191.80, 1,788.24 and 498.98 is: 748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.80 : 1,788.24 = 498.98 : x
  2. Step 2: Convert to fraction form
    1,191.80/1,788.24 = 498.98/x
  3. Step 3: Cross multiply
    1,191.80x = 1,788.24 × 498.98
  4. Step 4: Simplify right side
    1,191.80x = 892,296.00
  5. Step 5: Solve for x
    x = 892,296.00/1,191.80
  6. Step 6: Final answer
    x = 748.70

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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.