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Finding the Fourth Proportional to 1,016.31, 1,402.51 and 550.56

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Solution

The fourth proportional to 1,016.31, 1,402.51 and 550.56 is: 759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.31 : 1,402.51 = 550.56 : x
  2. Step 2: Convert to fraction form
    1,016.31/1,402.51 = 550.56/x
  3. Step 3: Cross multiply
    1,016.31x = 1,402.51 × 550.56
  4. Step 4: Simplify right side
    1,016.31x = 772,165.91
  5. Step 5: Solve for x
    x = 772,165.91/1,016.31
  6. Step 6: Final answer
    x = 759.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.