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Finding the Fourth Proportional to 763.60, 1,146.30 and 758.20

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Solution

The fourth proportional to 763.60, 1,146.30 and 758.20 is: 1,138.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.60 : 1,146.30 = 758.20 : x
  2. Step 2: Convert to fraction form
    763.60/1,146.30 = 758.20/x
  3. Step 3: Cross multiply
    763.60x = 1,146.30 × 758.20
  4. Step 4: Simplify right side
    763.60x = 869,124.66
  5. Step 5: Solve for x
    x = 869,124.66/763.60
  6. Step 6: Final answer
    x = 1,138.19

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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.