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Finding the Fourth Proportional to 979.02, 1,467.84 and 491.74

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Solution

The fourth proportional to 979.02, 1,467.84 and 491.74 is: 737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.02 : 1,467.84 = 491.74 : x
  2. Step 2: Convert to fraction form
    979.02/1,467.84 = 491.74/x
  3. Step 3: Cross multiply
    979.02x = 1,467.84 × 491.74
  4. Step 4: Simplify right side
    979.02x = 721,795.64
  5. Step 5: Solve for x
    x = 721,795.64/979.02
  6. Step 6: Final answer
    x = 737.26

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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.