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Finding the Fourth Proportional to 1,081.41, 1,492.79 and 732.30

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Solution

The fourth proportional to 1,081.41, 1,492.79 and 732.30 is: 1,010.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.41 : 1,492.79 = 732.30 : x
  2. Step 2: Convert to fraction form
    1,081.41/1,492.79 = 732.30/x
  3. Step 3: Cross multiply
    1,081.41x = 1,492.79 × 732.30
  4. Step 4: Simplify right side
    1,081.41x = 1,093,170.12
  5. Step 5: Solve for x
    x = 1,093,170.12/1,081.41
  6. Step 6: Final answer
    x = 1,010.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.