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Finding the Fourth Proportional to 869.27, 1,297.38 and 751.62

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Solution

The fourth proportional to 869.27, 1,297.38 and 751.62 is: 1,121.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.27 : 1,297.38 = 751.62 : x
  2. Step 2: Convert to fraction form
    869.27/1,297.38 = 751.62/x
  3. Step 3: Cross multiply
    869.27x = 1,297.38 × 751.62
  4. Step 4: Simplify right side
    869.27x = 975,133.00
  5. Step 5: Solve for x
    x = 975,133.00/869.27
  6. Step 6: Final answer
    x = 1,121.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.