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Finding the Fourth Proportional to 1,016.53, 1,402.79 and 550.78

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Solution

The fourth proportional to 1,016.53, 1,402.79 and 550.78 is: 760.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.53 : 1,402.79 = 550.78 : x
  2. Step 2: Convert to fraction form
    1,016.53/1,402.79 = 550.78/x
  3. Step 3: Cross multiply
    1,016.53x = 1,402.79 × 550.78
  4. Step 4: Simplify right side
    1,016.53x = 772,626.55
  5. Step 5: Solve for x
    x = 772,626.55/1,016.53
  6. Step 6: Final answer
    x = 760.06

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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.