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Finding the Fourth Proportional to 1,016.52, 1,402.76 and 550.76

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Solution

The fourth proportional to 1,016.52, 1,402.76 and 550.76 is: 760.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.52 : 1,402.76 = 550.76 : x
  2. Step 2: Convert to fraction form
    1,016.52/1,402.76 = 550.76/x
  3. Step 3: Cross multiply
    1,016.52x = 1,402.76 × 550.76
  4. Step 4: Simplify right side
    1,016.52x = 772,584.10
  5. Step 5: Solve for x
    x = 772,584.10/1,016.52
  6. Step 6: Final answer
    x = 760.03

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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.