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Finding the Fourth Proportional to 693.89, 952.55 and 595.47

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Solution

The fourth proportional to 693.89, 952.55 and 595.47 is: 817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.89 : 952.55 = 595.47 : x
  2. Step 2: Convert to fraction form
    693.89/952.55 = 595.47/x
  3. Step 3: Cross multiply
    693.89x = 952.55 × 595.47
  4. Step 4: Simplify right side
    693.89x = 567,211.97
  5. Step 5: Solve for x
    x = 567,211.97/693.89
  6. Step 6: Final answer
    x = 817.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.