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Finding the Fourth Proportional to 1,018.12, 1,527.40 and 393.41

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Solution

The fourth proportional to 1,018.12, 1,527.40 and 393.41 is: 590.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.12 : 1,527.40 = 393.41 : x
  2. Step 2: Convert to fraction form
    1,018.12/1,527.40 = 393.41/x
  3. Step 3: Cross multiply
    1,018.12x = 1,527.40 × 393.41
  4. Step 4: Simplify right side
    1,018.12x = 600,890.15
  5. Step 5: Solve for x
    x = 600,890.15/1,018.12
  6. Step 6: Final answer
    x = 590.20

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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.