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Finding the Fourth Proportional to 979.98, 1,470.46 and 541.58

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Solution

The fourth proportional to 979.98, 1,470.46 and 541.58 is: 812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.98 : 1,470.46 = 541.58 : x
  2. Step 2: Convert to fraction form
    979.98/1,470.46 = 541.58/x
  3. Step 3: Cross multiply
    979.98x = 1,470.46 × 541.58
  4. Step 4: Simplify right side
    979.98x = 796,371.73
  5. Step 5: Solve for x
    x = 796,371.73/979.98
  6. Step 6: Final answer
    x = 812.64

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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.