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Finding the Fourth Proportional to 701.29, 967.51 and 452.76

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Solution

The fourth proportional to 701.29, 967.51 and 452.76 is: 624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.29 : 967.51 = 452.76 : x
  2. Step 2: Convert to fraction form
    701.29/967.51 = 452.76/x
  3. Step 3: Cross multiply
    701.29x = 967.51 × 452.76
  4. Step 4: Simplify right side
    701.29x = 438,046.77
  5. Step 5: Solve for x
    x = 438,046.77/701.29
  6. Step 6: Final answer
    x = 624.63

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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.