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Finding the Fourth Proportional to 1,087.82, 1,631.72 and 266.11

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Solution

The fourth proportional to 1,087.82, 1,631.72 and 266.11 is: 399.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.82 : 1,631.72 = 266.11 : x
  2. Step 2: Convert to fraction form
    1,087.82/1,631.72 = 266.11/x
  3. Step 3: Cross multiply
    1,087.82x = 1,631.72 × 266.11
  4. Step 4: Simplify right side
    1,087.82x = 434,217.01
  5. Step 5: Solve for x
    x = 434,217.01/1,087.82
  6. Step 6: Final answer
    x = 399.16

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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.