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Finding the Fourth Proportional to 800.24, 1,104.12 and 520.56

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Solution

The fourth proportional to 800.24, 1,104.12 and 520.56 is: 718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.24 : 1,104.12 = 520.56 : x
  2. Step 2: Convert to fraction form
    800.24/1,104.12 = 520.56/x
  3. Step 3: Cross multiply
    800.24x = 1,104.12 × 520.56
  4. Step 4: Simplify right side
    800.24x = 574,760.71
  5. Step 5: Solve for x
    x = 574,760.71/800.24
  6. Step 6: Final answer
    x = 718.24

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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.