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Finding the Fourth Proportional to 979.36, 1,470.35 and 568.79

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Solution

The fourth proportional to 979.36, 1,470.35 and 568.79 is: 853.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.36 : 1,470.35 = 568.79 : x
  2. Step 2: Convert to fraction form
    979.36/1,470.35 = 568.79/x
  3. Step 3: Cross multiply
    979.36x = 1,470.35 × 568.79
  4. Step 4: Simplify right side
    979.36x = 836,322.56
  5. Step 5: Solve for x
    x = 836,322.56/979.36
  6. Step 6: Final answer
    x = 853.95

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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.