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Finding the Fourth Proportional to 961.09, 1,326.34 and 568.11

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Solution

The fourth proportional to 961.09, 1,326.34 and 568.11 is: 784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.09 : 1,326.34 = 568.11 : x
  2. Step 2: Convert to fraction form
    961.09/1,326.34 = 568.11/x
  3. Step 3: Cross multiply
    961.09x = 1,326.34 × 568.11
  4. Step 4: Simplify right side
    961.09x = 753,507.02
  5. Step 5: Solve for x
    x = 753,507.02/961.09
  6. Step 6: Final answer
    x = 784.01

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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.