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Finding the Fourth Proportional to 905.47, 1,358.20 and 494.49

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Solution

The fourth proportional to 905.47, 1,358.20 and 494.49 is: 741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.47 : 1,358.20 = 494.49 : x
  2. Step 2: Convert to fraction form
    905.47/1,358.20 = 494.49/x
  3. Step 3: Cross multiply
    905.47x = 1,358.20 × 494.49
  4. Step 4: Simplify right side
    905.47x = 671,616.32
  5. Step 5: Solve for x
    x = 671,616.32/905.47
  6. Step 6: Final answer
    x = 741.73

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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.