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Finding the Fourth Proportional to 913.11, 1,369.51 and 866.94

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Solution

The fourth proportional to 913.11, 1,369.51 and 866.94 is: 1,300.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.11 : 1,369.51 = 866.94 : x
  2. Step 2: Convert to fraction form
    913.11/1,369.51 = 866.94/x
  3. Step 3: Cross multiply
    913.11x = 1,369.51 × 866.94
  4. Step 4: Simplify right side
    913.11x = 1,187,275.70
  5. Step 5: Solve for x
    x = 1,187,275.70/913.11
  6. Step 6: Final answer
    x = 1,300.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.