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Finding the Fourth Proportional to 676.25, 1,014.68 and 494.45

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Solution

The fourth proportional to 676.25, 1,014.68 and 494.45 is: 741.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.25 : 1,014.68 = 494.45 : x
  2. Step 2: Convert to fraction form
    676.25/1,014.68 = 494.45/x
  3. Step 3: Cross multiply
    676.25x = 1,014.68 × 494.45
  4. Step 4: Simplify right side
    676.25x = 501,711.42
  5. Step 5: Solve for x
    x = 501,711.42/676.25
  6. Step 6: Final answer
    x = 741.90

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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.