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Finding the Fourth Proportional to 1,073.93, 1,610.60 and 380.51

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Solution

The fourth proportional to 1,073.93, 1,610.60 and 380.51 is: 570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.93 : 1,610.60 = 380.51 : x
  2. Step 2: Convert to fraction form
    1,073.93/1,610.60 = 380.51/x
  3. Step 3: Cross multiply
    1,073.93x = 1,610.60 × 380.51
  4. Step 4: Simplify right side
    1,073.93x = 612,849.41
  5. Step 5: Solve for x
    x = 612,849.41/1,073.93
  6. Step 6: Final answer
    x = 570.66

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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.