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Finding the Fourth Proportional to 1,469.34, 2,202.59 and 494.91

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Solution

The fourth proportional to 1,469.34, 2,202.59 and 494.91 is: 741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469.34 : 2,202.59 = 494.91 : x
  2. Step 2: Convert to fraction form
    1,469.34/2,202.59 = 494.91/x
  3. Step 3: Cross multiply
    1,469.34x = 2,202.59 × 494.91
  4. Step 4: Simplify right side
    1,469.34x = 1,090,085.05
  5. Step 5: Solve for x
    x = 1,090,085.05/1,469.34
  6. Step 6: Final answer
    x = 741.89

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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.