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Finding the Fourth Proportional to 1,023.20, 1,532.28 and 841.04

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Solution

The fourth proportional to 1,023.20, 1,532.28 and 841.04 is: 1,259.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.20 : 1,532.28 = 841.04 : x
  2. Step 2: Convert to fraction form
    1,023.20/1,532.28 = 841.04/x
  3. Step 3: Cross multiply
    1,023.20x = 1,532.28 × 841.04
  4. Step 4: Simplify right side
    1,023.20x = 1,288,708.77
  5. Step 5: Solve for x
    x = 1,288,708.77/1,023.20
  6. Step 6: Final answer
    x = 1,259.49

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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.