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Finding the Fourth Proportional to 800.80, 1,104.48 and 590.88

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Solution

The fourth proportional to 800.80, 1,104.48 and 590.88 is: 814.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.80 : 1,104.48 = 590.88 : x
  2. Step 2: Convert to fraction form
    800.80/1,104.48 = 590.88/x
  3. Step 3: Cross multiply
    800.80x = 1,104.48 × 590.88
  4. Step 4: Simplify right side
    800.80x = 652,615.14
  5. Step 5: Solve for x
    x = 652,615.14/800.80
  6. Step 6: Final answer
    x = 814.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.