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Finding the Fourth Proportional to 1,016.18, 1,524.49 and 322.76

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Solution

The fourth proportional to 1,016.18, 1,524.49 and 322.76 is: 484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.18 : 1,524.49 = 322.76 : x
  2. Step 2: Convert to fraction form
    1,016.18/1,524.49 = 322.76/x
  3. Step 3: Cross multiply
    1,016.18x = 1,524.49 × 322.76
  4. Step 4: Simplify right side
    1,016.18x = 492,047.40
  5. Step 5: Solve for x
    x = 492,047.40/1,016.18
  6. Step 6: Final answer
    x = 484.21

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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.