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Finding the Fourth Proportional to 1,026.34, 1,535.19 and 819.34

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Solution

The fourth proportional to 1,026.34, 1,535.19 and 819.34 is: 1,225.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.34 : 1,535.19 = 819.34 : x
  2. Step 2: Convert to fraction form
    1,026.34/1,535.19 = 819.34/x
  3. Step 3: Cross multiply
    1,026.34x = 1,535.19 × 819.34
  4. Step 4: Simplify right side
    1,026.34x = 1,257,842.57
  5. Step 5: Solve for x
    x = 1,257,842.57/1,026.34
  6. Step 6: Final answer
    x = 1,225.56

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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.