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Finding the Fourth Proportional to 1,087.88, 1,496.63 and 961.21

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Solution

The fourth proportional to 1,087.88, 1,496.63 and 961.21 is: 1,322.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,087.88 : 1,496.63 = 961.21 : x
  2. Step 2: Convert to fraction form
    1,087.88/1,496.63 = 961.21/x
  3. Step 3: Cross multiply
    1,087.88x = 1,496.63 × 961.21
  4. Step 4: Simplify right side
    1,087.88x = 1,438,563.43
  5. Step 5: Solve for x
    x = 1,438,563.43/1,087.88
  6. Step 6: Final answer
    x = 1,322.35

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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.