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Finding the Fourth Proportional to 1,351.68, 2,026.74 and 657.78

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Solution

The fourth proportional to 1,351.68, 2,026.74 and 657.78 is: 986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.68 : 2,026.74 = 657.78 : x
  2. Step 2: Convert to fraction form
    1,351.68/2,026.74 = 657.78/x
  3. Step 3: Cross multiply
    1,351.68x = 2,026.74 × 657.78
  4. Step 4: Simplify right side
    1,351.68x = 1,333,149.04
  5. Step 5: Solve for x
    x = 1,333,149.04/1,351.68
  6. Step 6: Final answer
    x = 986.29

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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.