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Finding the Fourth Proportional to 961.09, 1,326.63 and 666.75

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Solution

The fourth proportional to 961.09, 1,326.63 and 666.75 is: 920.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.09 : 1,326.63 = 666.75 : x
  2. Step 2: Convert to fraction form
    961.09/1,326.63 = 666.75/x
  3. Step 3: Cross multiply
    961.09x = 1,326.63 × 666.75
  4. Step 4: Simplify right side
    961.09x = 884,530.55
  5. Step 5: Solve for x
    x = 884,530.55/961.09
  6. Step 6: Final answer
    x = 920.34

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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.