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Finding the Fourth Proportional to 961.67, 1,326.98 and 928.46

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Solution

The fourth proportional to 961.67, 1,326.98 and 928.46 is: 1,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.67 : 1,326.98 = 928.46 : x
  2. Step 2: Convert to fraction form
    961.67/1,326.98 = 928.46/x
  3. Step 3: Cross multiply
    961.67x = 1,326.98 × 928.46
  4. Step 4: Simplify right side
    961.67x = 1,232,053.49
  5. Step 5: Solve for x
    x = 1,232,053.49/961.67
  6. Step 6: Final answer
    x = 1,281.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.