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Finding the Fourth Proportional to 1,468.38, 2,202.84 and 494.58

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Solution

The fourth proportional to 1,468.38, 2,202.84 and 494.58 is: 741.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468.38 : 2,202.84 = 494.58 : x
  2. Step 2: Convert to fraction form
    1,468.38/2,202.84 = 494.58/x
  3. Step 3: Cross multiply
    1,468.38x = 2,202.84 × 494.58
  4. Step 4: Simplify right side
    1,468.38x = 1,089,480.61
  5. Step 5: Solve for x
    x = 1,089,480.61/1,468.38
  6. Step 6: Final answer
    x = 741.96

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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.