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Finding the Fourth Proportional to 1,087.78, 1,631.64 and 266.05

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Solution

The fourth proportional to 1,087.78, 1,631.64 and 266.05 is: 399.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.78 : 1,631.64 = 266.05 : x
  2. Step 2: Convert to fraction form
    1,087.78/1,631.64 = 266.05/x
  3. Step 3: Cross multiply
    1,087.78x = 1,631.64 × 266.05
  4. Step 4: Simplify right side
    1,087.78x = 434,100.86
  5. Step 5: Solve for x
    x = 434,100.86/1,087.78
  6. Step 6: Final answer
    x = 399.07

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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.