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Finding the Fourth Proportional to 979.88, 1,467.66 and 545.96

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Solution

The fourth proportional to 979.88, 1,467.66 and 545.96 is: 817.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.88 : 1,467.66 = 545.96 : x
  2. Step 2: Convert to fraction form
    979.88/1,467.66 = 545.96/x
  3. Step 3: Cross multiply
    979.88x = 1,467.66 × 545.96
  4. Step 4: Simplify right side
    979.88x = 801,283.65
  5. Step 5: Solve for x
    x = 801,283.65/979.88
  6. Step 6: Final answer
    x = 817.74

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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.