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Finding the Fourth Proportional to 1,292.33, 1,937.67 and 676.26

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Solution

The fourth proportional to 1,292.33, 1,937.67 and 676.26 is: 1,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,292.33 : 1,937.67 = 676.26 : x
  2. Step 2: Convert to fraction form
    1,292.33/1,937.67 = 676.26/x
  3. Step 3: Cross multiply
    1,292.33x = 1,937.67 × 676.26
  4. Step 4: Simplify right side
    1,292.33x = 1,310,368.71
  5. Step 5: Solve for x
    x = 1,310,368.71/1,292.33
  6. Step 6: Final answer
    x = 1,013.96

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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.