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Finding the Fourth Proportional to 979.36, 1,468.10 and 491.94

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Solution

The fourth proportional to 979.36, 1,468.10 and 491.94 is: 737.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.36 : 1,468.10 = 491.94 : x
  2. Step 2: Convert to fraction form
    979.36/1,468.10 = 491.94/x
  3. Step 3: Cross multiply
    979.36x = 1,468.10 × 491.94
  4. Step 4: Simplify right side
    979.36x = 722,217.11
  5. Step 5: Solve for x
    x = 722,217.11/979.36
  6. Step 6: Final answer
    x = 737.44

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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.