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Finding the Fourth Proportional to 1,363.98, 2,046.38 and 439.52

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Solution

The fourth proportional to 1,363.98, 2,046.38 and 439.52 is: 659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.98 : 2,046.38 = 439.52 : x
  2. Step 2: Convert to fraction form
    1,363.98/2,046.38 = 439.52/x
  3. Step 3: Cross multiply
    1,363.98x = 2,046.38 × 439.52
  4. Step 4: Simplify right side
    1,363.98x = 899,412.51
  5. Step 5: Solve for x
    x = 899,412.51/1,363.98
  6. Step 6: Final answer
    x = 659.40

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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.