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Finding the Fourth Proportional to 1,003.82, 1,505.76 and 426.74

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Solution

The fourth proportional to 1,003.82, 1,505.76 and 426.74 is: 640.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.82 : 1,505.76 = 426.74 : x
  2. Step 2: Convert to fraction form
    1,003.82/1,505.76 = 426.74/x
  3. Step 3: Cross multiply
    1,003.82x = 1,505.76 × 426.74
  4. Step 4: Simplify right side
    1,003.82x = 642,568.02
  5. Step 5: Solve for x
    x = 642,568.02/1,003.82
  6. Step 6: Final answer
    x = 640.12

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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.