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Finding the Fourth Proportional to 979.44, 1,467.54 and 491.46

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Solution

The fourth proportional to 979.44, 1,467.54 and 491.46 is: 736.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.44 : 1,467.54 = 491.46 : x
  2. Step 2: Convert to fraction form
    979.44/1,467.54 = 491.46/x
  3. Step 3: Cross multiply
    979.44x = 1,467.54 × 491.46
  4. Step 4: Simplify right side
    979.44x = 721,237.21
  5. Step 5: Solve for x
    x = 721,237.21/979.44
  6. Step 6: Final answer
    x = 736.38

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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.