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Finding the Fourth Proportional to 1,012.67, 1,518.79 and 282.05

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Solution

The fourth proportional to 1,012.67, 1,518.79 and 282.05 is: 423.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.67 : 1,518.79 = 282.05 : x
  2. Step 2: Convert to fraction form
    1,012.67/1,518.79 = 282.05/x
  3. Step 3: Cross multiply
    1,012.67x = 1,518.79 × 282.05
  4. Step 4: Simplify right side
    1,012.67x = 428,374.72
  5. Step 5: Solve for x
    x = 428,374.72/1,012.67
  6. Step 6: Final answer
    x = 423.02

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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.