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Finding the Fourth Proportional to 979.18, 1,468.07 and 458.89

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Solution

The fourth proportional to 979.18, 1,468.07 and 458.89 is: 688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.18 : 1,468.07 = 458.89 : x
  2. Step 2: Convert to fraction form
    979.18/1,468.07 = 458.89/x
  3. Step 3: Cross multiply
    979.18x = 1,468.07 × 458.89
  4. Step 4: Simplify right side
    979.18x = 673,684.02
  5. Step 5: Solve for x
    x = 673,684.02/979.18
  6. Step 6: Final answer
    x = 688.01

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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.