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Finding the Fourth Proportional to 979.14, 1,468.68 and 491.84

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Solution

The fourth proportional to 979.14, 1,468.68 and 491.84 is: 737.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.14 : 1,468.68 = 491.84 : x
  2. Step 2: Convert to fraction form
    979.14/1,468.68 = 491.84/x
  3. Step 3: Cross multiply
    979.14x = 1,468.68 × 491.84
  4. Step 4: Simplify right side
    979.14x = 722,355.57
  5. Step 5: Solve for x
    x = 722,355.57/979.14
  6. Step 6: Final answer
    x = 737.74

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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.