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Finding the Fourth Proportional to 1,012.96, 1,518.22 and 464.39

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Solution

The fourth proportional to 1,012.96, 1,518.22 and 464.39 is: 696.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.96 : 1,518.22 = 464.39 : x
  2. Step 2: Convert to fraction form
    1,012.96/1,518.22 = 464.39/x
  3. Step 3: Cross multiply
    1,012.96x = 1,518.22 × 464.39
  4. Step 4: Simplify right side
    1,012.96x = 705,046.19
  5. Step 5: Solve for x
    x = 705,046.19/1,012.96
  6. Step 6: Final answer
    x = 696.03

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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.