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Finding the Fourth Proportional to 869.70, 1,297.14 and 838.71

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Solution

The fourth proportional to 869.70, 1,297.14 and 838.71 is: 1,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.70 : 1,297.14 = 838.71 : x
  2. Step 2: Convert to fraction form
    869.70/1,297.14 = 838.71/x
  3. Step 3: Cross multiply
    869.70x = 1,297.14 × 838.71
  4. Step 4: Simplify right side
    869.70x = 1,087,924.29
  5. Step 5: Solve for x
    x = 1,087,924.29/869.70
  6. Step 6: Final answer
    x = 1,250.92

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