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Finding the Fourth Proportional to 979.47, 1,467.54 and 613.44

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Solution

The fourth proportional to 979.47, 1,467.54 and 613.44 is: 919.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.47 : 1,467.54 = 613.44 : x
  2. Step 2: Convert to fraction form
    979.47/1,467.54 = 613.44/x
  3. Step 3: Cross multiply
    979.47x = 1,467.54 × 613.44
  4. Step 4: Simplify right side
    979.47x = 900,247.74
  5. Step 5: Solve for x
    x = 900,247.74/979.47
  6. Step 6: Final answer
    x = 919.12

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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.