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Finding the Fourth Proportional to 1,081.66, 1,493.14 and 732.55

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Solution

The fourth proportional to 1,081.66, 1,493.14 and 732.55 is: 1,011.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.66 : 1,493.14 = 732.55 : x
  2. Step 2: Convert to fraction form
    1,081.66/1,493.14 = 732.55/x
  3. Step 3: Cross multiply
    1,081.66x = 1,493.14 × 732.55
  4. Step 4: Simplify right side
    1,081.66x = 1,093,792.24
  5. Step 5: Solve for x
    x = 1,093,792.24/1,081.66
  6. Step 6: Final answer
    x = 1,011.22

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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.