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Finding the Fourth Proportional to 800.80, 1,104.67 and 538.36

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Solution

The fourth proportional to 800.80, 1,104.67 and 538.36 is: 742.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.80 : 1,104.67 = 538.36 : x
  2. Step 2: Convert to fraction form
    800.80/1,104.67 = 538.36/x
  3. Step 3: Cross multiply
    800.80x = 1,104.67 × 538.36
  4. Step 4: Simplify right side
    800.80x = 594,710.14
  5. Step 5: Solve for x
    x = 594,710.14/800.80
  6. Step 6: Final answer
    x = 742.65

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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.