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Finding the Fourth Proportional to 913.05, 1,370.76 and 426.42

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Solution

The fourth proportional to 913.05, 1,370.76 and 426.42 is: 640.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.05 : 1,370.76 = 426.42 : x
  2. Step 2: Convert to fraction form
    913.05/1,370.76 = 426.42/x
  3. Step 3: Cross multiply
    913.05x = 1,370.76 × 426.42
  4. Step 4: Simplify right side
    913.05x = 584,519.48
  5. Step 5: Solve for x
    x = 584,519.48/913.05
  6. Step 6: Final answer
    x = 640.18

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