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Finding the Fourth Proportional to 1,363.88, 2,046.19 and 390.08

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Solution

The fourth proportional to 1,363.88, 2,046.19 and 390.08 is: 585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.88 : 2,046.19 = 390.08 : x
  2. Step 2: Convert to fraction form
    1,363.88/2,046.19 = 390.08/x
  3. Step 3: Cross multiply
    1,363.88x = 2,046.19 × 390.08
  4. Step 4: Simplify right side
    1,363.88x = 798,177.80
  5. Step 5: Solve for x
    x = 798,177.80/1,363.88
  6. Step 6: Final answer
    x = 585.23

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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.