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Finding the Fourth Proportional to 794.52, 1,197.08 and 717.57

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Solution

The fourth proportional to 794.52, 1,197.08 and 717.57 is: 1,081.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.52 : 1,197.08 = 717.57 : x
  2. Step 2: Convert to fraction form
    794.52/1,197.08 = 717.57/x
  3. Step 3: Cross multiply
    794.52x = 1,197.08 × 717.57
  4. Step 4: Simplify right side
    794.52x = 858,985.11
  5. Step 5: Solve for x
    x = 858,985.11/794.52
  6. Step 6: Final answer
    x = 1,081.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.