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Finding the Fourth Proportional to 979.59, 1,467.42 and 458.87

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Solution

The fourth proportional to 979.59, 1,467.42 and 458.87 is: 687.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.59 : 1,467.42 = 458.87 : x
  2. Step 2: Convert to fraction form
    979.59/1,467.42 = 458.87/x
  3. Step 3: Cross multiply
    979.59x = 1,467.42 × 458.87
  4. Step 4: Simplify right side
    979.59x = 673,345.96
  5. Step 5: Solve for x
    x = 673,345.96/979.59
  6. Step 6: Final answer
    x = 687.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.