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Finding the Fourth Proportional to 865.67, 1,194.66 and 655.48

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Solution

The fourth proportional to 865.67, 1,194.66 and 655.48 is: 904.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.67 : 1,194.66 = 655.48 : x
  2. Step 2: Convert to fraction form
    865.67/1,194.66 = 655.48/x
  3. Step 3: Cross multiply
    865.67x = 1,194.66 × 655.48
  4. Step 4: Simplify right side
    865.67x = 783,072.75
  5. Step 5: Solve for x
    x = 783,072.75/865.67
  6. Step 6: Final answer
    x = 904.58

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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.