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Finding the Fourth Proportional to 979.20, 1,467.47 and 492.59

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Solution

The fourth proportional to 979.20, 1,467.47 and 492.59 is: 738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.20 : 1,467.47 = 492.59 : x
  2. Step 2: Convert to fraction form
    979.20/1,467.47 = 492.59/x
  3. Step 3: Cross multiply
    979.20x = 1,467.47 × 492.59
  4. Step 4: Simplify right side
    979.20x = 722,851.25
  5. Step 5: Solve for x
    x = 722,851.25/979.20
  6. Step 6: Final answer
    x = 738.21

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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.