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Finding the Fourth Proportional to 1,016.26, 1,401.72 and 661.53

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Solution

The fourth proportional to 1,016.26, 1,401.72 and 661.53 is: 912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.26 : 1,401.72 = 661.53 : x
  2. Step 2: Convert to fraction form
    1,016.26/1,401.72 = 661.53/x
  3. Step 3: Cross multiply
    1,016.26x = 1,401.72 × 661.53
  4. Step 4: Simplify right side
    1,016.26x = 927,279.83
  5. Step 5: Solve for x
    x = 927,279.83/1,016.26
  6. Step 6: Final answer
    x = 912.44

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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.