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Finding the Fourth Proportional to 1,073.85, 1,610.82 and 293.82

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Solution

The fourth proportional to 1,073.85, 1,610.82 and 293.82 is: 440.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.85 : 1,610.82 = 293.82 : x
  2. Step 2: Convert to fraction form
    1,073.85/1,610.82 = 293.82/x
  3. Step 3: Cross multiply
    1,073.85x = 1,610.82 × 293.82
  4. Step 4: Simplify right side
    1,073.85x = 473,291.13
  5. Step 5: Solve for x
    x = 473,291.13/1,073.85
  6. Step 6: Final answer
    x = 440.74

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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.