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Finding the Fourth Proportional to 763.97, 1,146.78 and 572.81

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Solution

The fourth proportional to 763.97, 1,146.78 and 572.81 is: 859.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.97 : 1,146.78 = 572.81 : x
  2. Step 2: Convert to fraction form
    763.97/1,146.78 = 572.81/x
  3. Step 3: Cross multiply
    763.97x = 1,146.78 × 572.81
  4. Step 4: Simplify right side
    763.97x = 656,887.05
  5. Step 5: Solve for x
    x = 656,887.05/763.97
  6. Step 6: Final answer
    x = 859.83

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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.