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Finding the Fourth Proportional to 1,073.38, 1,610.34 and 303.88

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Solution

The fourth proportional to 1,073.38, 1,610.34 and 303.88 is: 455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.38 : 1,610.34 = 303.88 : x
  2. Step 2: Convert to fraction form
    1,073.38/1,610.34 = 303.88/x
  3. Step 3: Cross multiply
    1,073.38x = 1,610.34 × 303.88
  4. Step 4: Simplify right side
    1,073.38x = 489,340.55
  5. Step 5: Solve for x
    x = 489,340.55/1,073.38
  6. Step 6: Final answer
    x = 455.89

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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.