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Finding the Fourth Proportional to 800.24, 1,104.54 and 521.24

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Solution

The fourth proportional to 800.24, 1,104.54 and 521.24 is: 719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.24 : 1,104.54 = 521.24 : x
  2. Step 2: Convert to fraction form
    800.24/1,104.54 = 521.24/x
  3. Step 3: Cross multiply
    800.24x = 1,104.54 × 521.24
  4. Step 4: Simplify right side
    800.24x = 575,730.43
  5. Step 5: Solve for x
    x = 575,730.43/800.24
  6. Step 6: Final answer
    x = 719.45

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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.