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Finding the Fourth Proportional to 800.49, 1,104.60 and 590.78

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Solution

The fourth proportional to 800.49, 1,104.60 and 590.78 is: 815.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.49 : 1,104.60 = 590.78 : x
  2. Step 2: Convert to fraction form
    800.49/1,104.60 = 590.78/x
  3. Step 3: Cross multiply
    800.49x = 1,104.60 × 590.78
  4. Step 4: Simplify right side
    800.49x = 652,575.59
  5. Step 5: Solve for x
    x = 652,575.59/800.49
  6. Step 6: Final answer
    x = 815.22

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Why These Related Problems?

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