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Finding the Fourth Proportional to 1,087.97, 1,632.08 and 471.56

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Solution

The fourth proportional to 1,087.97, 1,632.08 and 471.56 is: 707.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.97 : 1,632.08 = 471.56 : x
  2. Step 2: Convert to fraction form
    1,087.97/1,632.08 = 471.56/x
  3. Step 3: Cross multiply
    1,087.97x = 1,632.08 × 471.56
  4. Step 4: Simplify right side
    1,087.97x = 769,616.66
  5. Step 5: Solve for x
    x = 769,616.66/1,087.97
  6. Step 6: Final answer
    x = 707.39

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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.