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Finding the Fourth Proportional to 763.41, 1,146.06 and 759.90

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Solution

The fourth proportional to 763.41, 1,146.06 and 759.90 is: 1,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.41 : 1,146.06 = 759.90 : x
  2. Step 2: Convert to fraction form
    763.41/1,146.06 = 759.90/x
  3. Step 3: Cross multiply
    763.41x = 1,146.06 × 759.90
  4. Step 4: Simplify right side
    763.41x = 870,881.46
  5. Step 5: Solve for x
    x = 870,881.46/763.41
  6. Step 6: Final answer
    x = 1,140.79

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