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Finding the Fourth Proportional to 913.41, 1,371.45 and 565.74

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Solution

The fourth proportional to 913.41, 1,371.45 and 565.74 is: 849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.41 : 1,371.45 = 565.74 : x
  2. Step 2: Convert to fraction form
    913.41/1,371.45 = 565.74/x
  3. Step 3: Cross multiply
    913.41x = 1,371.45 × 565.74
  4. Step 4: Simplify right side
    913.41x = 775,884.12
  5. Step 5: Solve for x
    x = 775,884.12/913.41
  6. Step 6: Final answer
    x = 849.44

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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.