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Finding the Fourth Proportional to 693.40, 956.34 and 627.88

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Solution

The fourth proportional to 693.40, 956.34 and 627.88 is: 865.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.40 : 956.34 = 627.88 : x
  2. Step 2: Convert to fraction form
    693.40/956.34 = 627.88/x
  3. Step 3: Cross multiply
    693.40x = 956.34 × 627.88
  4. Step 4: Simplify right side
    693.40x = 600,466.76
  5. Step 5: Solve for x
    x = 600,466.76/693.40
  6. Step 6: Final answer
    x = 865.97

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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.