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Finding the Fourth Proportional to 1,003.70, 1,505.42 and 378.92

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Solution

The fourth proportional to 1,003.70, 1,505.42 and 378.92 is: 568.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.70 : 1,505.42 = 378.92 : x
  2. Step 2: Convert to fraction form
    1,003.70/1,505.42 = 378.92/x
  3. Step 3: Cross multiply
    1,003.70x = 1,505.42 × 378.92
  4. Step 4: Simplify right side
    1,003.70x = 570,433.75
  5. Step 5: Solve for x
    x = 570,433.75/1,003.70
  6. Step 6: Final answer
    x = 568.33

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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.