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Finding the Fourth Proportional to 1,346.71, 2,020.13 and 481.02

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Solution

The fourth proportional to 1,346.71, 2,020.13 and 481.02 is: 721.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346.71 : 2,020.13 = 481.02 : x
  2. Step 2: Convert to fraction form
    1,346.71/2,020.13 = 481.02/x
  3. Step 3: Cross multiply
    1,346.71x = 2,020.13 × 481.02
  4. Step 4: Simplify right side
    1,346.71x = 971,712.83
  5. Step 5: Solve for x
    x = 971,712.83/1,346.71
  6. Step 6: Final answer
    x = 721.55

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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.