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Finding the Fourth Proportional to 794.97, 1,095.90 and 545.91

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Solution

The fourth proportional to 794.97, 1,095.90 and 545.91 is: 752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.97 : 1,095.90 = 545.91 : x
  2. Step 2: Convert to fraction form
    794.97/1,095.90 = 545.91/x
  3. Step 3: Cross multiply
    794.97x = 1,095.90 × 545.91
  4. Step 4: Simplify right side
    794.97x = 598,262.77
  5. Step 5: Solve for x
    x = 598,262.77/794.97
  6. Step 6: Final answer
    x = 752.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.