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Finding the Fourth Proportional to 1,019.87, 1,530.38 and 630.82

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Solution

The fourth proportional to 1,019.87, 1,530.38 and 630.82 is: 946.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.87 : 1,530.38 = 630.82 : x
  2. Step 2: Convert to fraction form
    1,019.87/1,530.38 = 630.82/x
  3. Step 3: Cross multiply
    1,019.87x = 1,530.38 × 630.82
  4. Step 4: Simplify right side
    1,019.87x = 965,394.31
  5. Step 5: Solve for x
    x = 965,394.31/1,019.87
  6. Step 6: Final answer
    x = 946.59

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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.