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Finding the Fourth Proportional to 1,073.55, 1,610.43 and 380.13

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Solution

The fourth proportional to 1,073.55, 1,610.43 and 380.13 is: 570.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.55 : 1,610.43 = 380.13 : x
  2. Step 2: Convert to fraction form
    1,073.55/1,610.43 = 380.13/x
  3. Step 3: Cross multiply
    1,073.55x = 1,610.43 × 380.13
  4. Step 4: Simplify right side
    1,073.55x = 612,167.43
  5. Step 5: Solve for x
    x = 612,167.43/1,073.55
  6. Step 6: Final answer
    x = 570.23

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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.