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Finding the Fourth Proportional to 1,493.92, 2,241.12 and 763.68

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Solution

The fourth proportional to 1,493.92, 2,241.12 and 763.68 is: 1,145.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.92 : 2,241.12 = 763.68 : x
  2. Step 2: Convert to fraction form
    1,493.92/2,241.12 = 763.68/x
  3. Step 3: Cross multiply
    1,493.92x = 2,241.12 × 763.68
  4. Step 4: Simplify right side
    1,493.92x = 1,711,498.52
  5. Step 5: Solve for x
    x = 1,711,498.52/1,493.92
  6. Step 6: Final answer
    x = 1,145.64

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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.