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Finding the Fourth Proportional to 1,586.40, 2,380.54 and 765.52

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Solution

The fourth proportional to 1,586.40, 2,380.54 and 765.52 is: 1,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,586.40 : 2,380.54 = 765.52 : x
  2. Step 2: Convert to fraction form
    1,586.40/2,380.54 = 765.52/x
  3. Step 3: Cross multiply
    1,586.40x = 2,380.54 × 765.52
  4. Step 4: Simplify right side
    1,586.40x = 1,822,350.98
  5. Step 5: Solve for x
    x = 1,822,350.98/1,586.40
  6. Step 6: Final answer
    x = 1,148.73

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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.