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Finding the Fourth Proportional to 1,016.69, 1,523.20 and 962.01

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Solution

The fourth proportional to 1,016.69, 1,523.20 and 962.01 is: 1,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.69 : 1,523.20 = 962.01 : x
  2. Step 2: Convert to fraction form
    1,016.69/1,523.20 = 962.01/x
  3. Step 3: Cross multiply
    1,016.69x = 1,523.20 × 962.01
  4. Step 4: Simplify right side
    1,016.69x = 1,465,331.23
  5. Step 5: Solve for x
    x = 1,465,331.23/1,016.69
  6. Step 6: Final answer
    x = 1,441.28

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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.