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Finding the Fourth Proportional to 1,012.56, 1,518.70 and 395.83

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Solution

The fourth proportional to 1,012.56, 1,518.70 and 395.83 is: 593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.56 : 1,518.70 = 395.83 : x
  2. Step 2: Convert to fraction form
    1,012.56/1,518.70 = 395.83/x
  3. Step 3: Cross multiply
    1,012.56x = 1,518.70 × 395.83
  4. Step 4: Simplify right side
    1,012.56x = 601,147.02
  5. Step 5: Solve for x
    x = 601,147.02/1,012.56
  6. Step 6: Final answer
    x = 593.69

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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.