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Finding the Fourth Proportional to 794.25, 1,095.66 and 597.69

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Solution

The fourth proportional to 794.25, 1,095.66 and 597.69 is: 824.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.25 : 1,095.66 = 597.69 : x
  2. Step 2: Convert to fraction form
    794.25/1,095.66 = 597.69/x
  3. Step 3: Cross multiply
    794.25x = 1,095.66 × 597.69
  4. Step 4: Simplify right side
    794.25x = 654,865.03
  5. Step 5: Solve for x
    x = 654,865.03/794.25
  6. Step 6: Final answer
    x = 824.51

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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.