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Finding the Fourth Proportional to 1,016.02, 1,402.10 and 550.27

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Solution

The fourth proportional to 1,016.02, 1,402.10 and 550.27 is: 759.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.02 : 1,402.10 = 550.27 : x
  2. Step 2: Convert to fraction form
    1,016.02/1,402.10 = 550.27/x
  3. Step 3: Cross multiply
    1,016.02x = 1,402.10 × 550.27
  4. Step 4: Simplify right side
    1,016.02x = 771,529.84
  5. Step 5: Solve for x
    x = 771,529.84/1,016.02
  6. Step 6: Final answer
    x = 759.37

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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.