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Finding the Fourth Proportional to 794.88, 1,097.53 and 685.53

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Solution

The fourth proportional to 794.88, 1,097.53 and 685.53 is: 946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.88 : 1,097.53 = 685.53 : x
  2. Step 2: Convert to fraction form
    794.88/1,097.53 = 685.53/x
  3. Step 3: Cross multiply
    794.88x = 1,097.53 × 685.53
  4. Step 4: Simplify right side
    794.88x = 752,388.03
  5. Step 5: Solve for x
    x = 752,388.03/794.88
  6. Step 6: Final answer
    x = 946.54

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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.