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Finding the Fourth Proportional to 1,363.72, 2,044.11 and 669.58

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Solution

The fourth proportional to 1,363.72, 2,044.11 and 669.58 is: 1,003.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.72 : 2,044.11 = 669.58 : x
  2. Step 2: Convert to fraction form
    1,363.72/2,044.11 = 669.58/x
  3. Step 3: Cross multiply
    1,363.72x = 2,044.11 × 669.58
  4. Step 4: Simplify right side
    1,363.72x = 1,368,695.17
  5. Step 5: Solve for x
    x = 1,368,695.17/1,363.72
  6. Step 6: Final answer
    x = 1,003.65

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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.