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Finding the Fourth Proportional to 945.92, 1,304.80 and 572.68

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Solution

The fourth proportional to 945.92, 1,304.80 and 572.68 is: 789.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.92 : 1,304.80 = 572.68 : x
  2. Step 2: Convert to fraction form
    945.92/1,304.80 = 572.68/x
  3. Step 3: Cross multiply
    945.92x = 1,304.80 × 572.68
  4. Step 4: Simplify right side
    945.92x = 747,232.86
  5. Step 5: Solve for x
    x = 747,232.86/945.92
  6. Step 6: Final answer
    x = 789.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.