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Finding the Fourth Proportional to 913.88, 1,370.86 and 426.80

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Solution

The fourth proportional to 913.88, 1,370.86 and 426.80 is: 640.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.88 : 1,370.86 = 426.80 : x
  2. Step 2: Convert to fraction form
    913.88/1,370.86 = 426.80/x
  3. Step 3: Cross multiply
    913.88x = 1,370.86 × 426.80
  4. Step 4: Simplify right side
    913.88x = 585,085.41
  5. Step 5: Solve for x
    x = 585,085.41/913.88
  6. Step 6: Final answer
    x = 640.22

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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.