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Finding the Fourth Proportional to 794.56, 1,095.78 and 532.93

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Solution

The fourth proportional to 794.56, 1,095.78 and 532.93 is: 734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.56 : 1,095.78 = 532.93 : x
  2. Step 2: Convert to fraction form
    794.56/1,095.78 = 532.93/x
  3. Step 3: Cross multiply
    794.56x = 1,095.78 × 532.93
  4. Step 4: Simplify right side
    794.56x = 583,974.04
  5. Step 5: Solve for x
    x = 583,974.04/794.56
  6. Step 6: Final answer
    x = 734.97

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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.