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Finding the Fourth Proportional to 1,473.25, 2,209.89 and 486.13

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Solution

The fourth proportional to 1,473.25, 2,209.89 and 486.13 is: 729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.25 : 2,209.89 = 486.13 : x
  2. Step 2: Convert to fraction form
    1,473.25/2,209.89 = 486.13/x
  3. Step 3: Cross multiply
    1,473.25x = 2,209.89 × 486.13
  4. Step 4: Simplify right side
    1,473.25x = 1,074,293.83
  5. Step 5: Solve for x
    x = 1,074,293.83/1,473.25
  6. Step 6: Final answer
    x = 729.20

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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.