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Finding the Fourth Proportional to 1,016.70, 1,523.03 and 553.79

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Solution

The fourth proportional to 1,016.70, 1,523.03 and 553.79 is: 829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.70 : 1,523.03 = 553.79 : x
  2. Step 2: Convert to fraction form
    1,016.70/1,523.03 = 553.79/x
  3. Step 3: Cross multiply
    1,016.70x = 1,523.03 × 553.79
  4. Step 4: Simplify right side
    1,016.70x = 843,428.40
  5. Step 5: Solve for x
    x = 843,428.40/1,016.70
  6. Step 6: Final answer
    x = 829.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.