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Finding the Fourth Proportional to 979.09, 1,351.14 and 559.42

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Solution

The fourth proportional to 979.09, 1,351.14 and 559.42 is: 772.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.09 : 1,351.14 = 559.42 : x
  2. Step 2: Convert to fraction form
    979.09/1,351.14 = 559.42/x
  3. Step 3: Cross multiply
    979.09x = 1,351.14 × 559.42
  4. Step 4: Simplify right side
    979.09x = 755,854.74
  5. Step 5: Solve for x
    x = 755,854.74/979.09
  6. Step 6: Final answer
    x = 772.00

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Why These Related Problems?

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