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Finding the Fourth Proportional to 914.27, 1,370.34 and 426.29

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Solution

The fourth proportional to 914.27, 1,370.34 and 426.29 is: 638.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.27 : 1,370.34 = 426.29 : x
  2. Step 2: Convert to fraction form
    914.27/1,370.34 = 426.29/x
  3. Step 3: Cross multiply
    914.27x = 1,370.34 × 426.29
  4. Step 4: Simplify right side
    914.27x = 584,155.39
  5. Step 5: Solve for x
    x = 584,155.39/914.27
  6. Step 6: Final answer
    x = 638.93

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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.