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Finding the Fourth Proportional to 1,012.83, 1,519.52 and 396.70

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Solution

The fourth proportional to 1,012.83, 1,519.52 and 396.70 is: 595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.83 : 1,519.52 = 396.70 : x
  2. Step 2: Convert to fraction form
    1,012.83/1,519.52 = 396.70/x
  3. Step 3: Cross multiply
    1,012.83x = 1,519.52 × 396.70
  4. Step 4: Simplify right side
    1,012.83x = 602,793.58
  5. Step 5: Solve for x
    x = 602,793.58/1,012.83
  6. Step 6: Final answer
    x = 595.16

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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.