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Finding the Fourth Proportional to 3,265.43, 4,898.13 and 800.24

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Solution

The fourth proportional to 3,265.43, 4,898.13 and 800.24 is: 1,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,265.43 : 4,898.13 = 800.24 : x
  2. Step 2: Convert to fraction form
    3,265.43/4,898.13 = 800.24/x
  3. Step 3: Cross multiply
    3,265.43x = 4,898.13 × 800.24
  4. Step 4: Simplify right side
    3,265.43x = 3,919,655.06
  5. Step 5: Solve for x
    x = 3,919,655.06/3,265.43
  6. Step 6: Final answer
    x = 1,200.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.