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Finding the Fourth Proportional to 914.07, 1,369.38 and 451.31

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Solution

The fourth proportional to 914.07, 1,369.38 and 451.31 is: 676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.07 : 1,369.38 = 451.31 : x
  2. Step 2: Convert to fraction form
    914.07/1,369.38 = 451.31/x
  3. Step 3: Cross multiply
    914.07x = 1,369.38 × 451.31
  4. Step 4: Simplify right side
    914.07x = 618,020.00
  5. Step 5: Solve for x
    x = 618,020.00/914.07
  6. Step 6: Final answer
    x = 676.12

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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.