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Finding the Fourth Proportional to 1,281.74, 1,922.66 and 665.05

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Solution

The fourth proportional to 1,281.74, 1,922.66 and 665.05 is: 997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,281.74 : 1,922.66 = 665.05 : x
  2. Step 2: Convert to fraction form
    1,281.74/1,922.66 = 665.05/x
  3. Step 3: Cross multiply
    1,281.74x = 1,922.66 × 665.05
  4. Step 4: Simplify right side
    1,281.74x = 1,278,665.03
  5. Step 5: Solve for x
    x = 1,278,665.03/1,281.74
  6. Step 6: Final answer
    x = 997.60

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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.