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Finding the Fourth Proportional to 980.48, 1,468.90 and 493.87

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Solution

The fourth proportional to 980.48, 1,468.90 and 493.87 is: 739.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.48 : 1,468.90 = 493.87 : x
  2. Step 2: Convert to fraction form
    980.48/1,468.90 = 493.87/x
  3. Step 3: Cross multiply
    980.48x = 1,468.90 × 493.87
  4. Step 4: Simplify right side
    980.48x = 725,445.64
  5. Step 5: Solve for x
    x = 725,445.64/980.48
  6. Step 6: Final answer
    x = 739.89

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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.