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Finding the Fourth Proportional to 766.67, 1,056.49 and 545.24

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Solution

The fourth proportional to 766.67, 1,056.49 and 545.24 is: 751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.67 : 1,056.49 = 545.24 : x
  2. Step 2: Convert to fraction form
    766.67/1,056.49 = 545.24/x
  3. Step 3: Cross multiply
    766.67x = 1,056.49 × 545.24
  4. Step 4: Simplify right side
    766.67x = 576,040.61
  5. Step 5: Solve for x
    x = 576,040.61/766.67
  6. Step 6: Final answer
    x = 751.35

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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.