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Finding the Fourth Proportional to 913.29, 1,369.02 and 844.64

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Solution

The fourth proportional to 913.29, 1,369.02 and 844.64 is: 1,266.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.29 : 1,369.02 = 844.64 : x
  2. Step 2: Convert to fraction form
    913.29/1,369.02 = 844.64/x
  3. Step 3: Cross multiply
    913.29x = 1,369.02 × 844.64
  4. Step 4: Simplify right side
    913.29x = 1,156,329.05
  5. Step 5: Solve for x
    x = 1,156,329.05/913.29
  6. Step 6: Final answer
    x = 1,266.11

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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.