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Finding the Fourth Proportional to 1,366.20, 2,049.08 and 392.08

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Solution

The fourth proportional to 1,366.20, 2,049.08 and 392.08 is: 588.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,366.20 : 2,049.08 = 392.08 : x
  2. Step 2: Convert to fraction form
    1,366.20/2,049.08 = 392.08/x
  3. Step 3: Cross multiply
    1,366.20x = 2,049.08 × 392.08
  4. Step 4: Simplify right side
    1,366.20x = 803,403.29
  5. Step 5: Solve for x
    x = 803,403.29/1,366.20
  6. Step 6: Final answer
    x = 588.06

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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.