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Finding the Fourth Proportional to 693.23, 955.88 and 566.80

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Solution

The fourth proportional to 693.23, 955.88 and 566.80 is: 781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.23 : 955.88 = 566.80 : x
  2. Step 2: Convert to fraction form
    693.23/955.88 = 566.80/x
  3. Step 3: Cross multiply
    693.23x = 955.88 × 566.80
  4. Step 4: Simplify right side
    693.23x = 541,792.78
  5. Step 5: Solve for x
    x = 541,792.78/693.23
  6. Step 6: Final answer
    x = 781.55

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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.