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Finding the Fourth Proportional to 1,363.71, 2,044.82 and 486.08

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Solution

The fourth proportional to 1,363.71, 2,044.82 and 486.08 is: 728.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.71 : 2,044.82 = 486.08 : x
  2. Step 2: Convert to fraction form
    1,363.71/2,044.82 = 486.08/x
  3. Step 3: Cross multiply
    1,363.71x = 2,044.82 × 486.08
  4. Step 4: Simplify right side
    1,363.71x = 993,937.10
  5. Step 5: Solve for x
    x = 993,937.10/1,363.71
  6. Step 6: Final answer
    x = 728.85

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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.