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Finding the Fourth Proportional to 979.04, 1,469.10 and 545.96

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Solution

The fourth proportional to 979.04, 1,469.10 and 545.96 is: 819.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.04 : 1,469.10 = 545.96 : x
  2. Step 2: Convert to fraction form
    979.04/1,469.10 = 545.96/x
  3. Step 3: Cross multiply
    979.04x = 1,469.10 × 545.96
  4. Step 4: Simplify right side
    979.04x = 802,069.84
  5. Step 5: Solve for x
    x = 802,069.84/979.04
  6. Step 6: Final answer
    x = 819.24

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Why These Related Problems?

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