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Finding the Fourth Proportional to 1,016.40, 1,523.88 and 961.68

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Solution

The fourth proportional to 1,016.40, 1,523.88 and 961.68 is: 1,441.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.40 : 1,523.88 = 961.68 : x
  2. Step 2: Convert to fraction form
    1,016.40/1,523.88 = 961.68/x
  3. Step 3: Cross multiply
    1,016.40x = 1,523.88 × 961.68
  4. Step 4: Simplify right side
    1,016.40x = 1,465,484.92
  5. Step 5: Solve for x
    x = 1,465,484.92/1,016.40
  6. Step 6: Final answer
    x = 1,441.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.