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Finding the Fourth Proportional to 914.40, 1,370.67 and 451.49

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Solution

The fourth proportional to 914.40, 1,370.67 and 451.49 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.40 : 1,370.67 = 451.49 : x
  2. Step 2: Convert to fraction form
    914.40/1,370.67 = 451.49/x
  3. Step 3: Cross multiply
    914.40x = 1,370.67 × 451.49
  4. Step 4: Simplify right side
    914.40x = 618,836.94
  5. Step 5: Solve for x
    x = 618,836.94/914.40
  6. Step 6: Final answer
    x = 676.77

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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.