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Finding the Fourth Proportional to 1,363.25, 2,044.67 and 497.57

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Solution

The fourth proportional to 1,363.25, 2,044.67 and 497.57 is: 746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363.25 : 2,044.67 = 497.57 : x
  2. Step 2: Convert to fraction form
    1,363.25/2,044.67 = 497.57/x
  3. Step 3: Cross multiply
    1,363.25x = 2,044.67 × 497.57
  4. Step 4: Simplify right side
    1,363.25x = 1,017,353.74
  5. Step 5: Solve for x
    x = 1,017,353.74/1,363.25
  6. Step 6: Final answer
    x = 746.27

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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.