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Finding the Fourth Proportional to 1,306.19, 1,958.33 and 484.47

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Solution

The fourth proportional to 1,306.19, 1,958.33 and 484.47 is: 726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.19 : 1,958.33 = 484.47 : x
  2. Step 2: Convert to fraction form
    1,306.19/1,958.33 = 484.47/x
  3. Step 3: Cross multiply
    1,306.19x = 1,958.33 × 484.47
  4. Step 4: Simplify right side
    1,306.19x = 948,753.35
  5. Step 5: Solve for x
    x = 948,753.35/1,306.19
  6. Step 6: Final answer
    x = 726.35

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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.