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Finding the Fourth Proportional to 701.27, 967.80 and 535.19

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Solution

The fourth proportional to 701.27, 967.80 and 535.19 is: 738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.27 : 967.80 = 535.19 : x
  2. Step 2: Convert to fraction form
    701.27/967.80 = 535.19/x
  3. Step 3: Cross multiply
    701.27x = 967.80 × 535.19
  4. Step 4: Simplify right side
    701.27x = 517,954.21
  5. Step 5: Solve for x
    x = 517,954.21/701.27
  6. Step 6: Final answer
    x = 738.60

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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.