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Finding the Fourth Proportional to 1,018.11, 1,527.13 and 324.82

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Solution

The fourth proportional to 1,018.11, 1,527.13 and 324.82 is: 487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.11 : 1,527.13 = 324.82 : x
  2. Step 2: Convert to fraction form
    1,018.11/1,527.13 = 324.82/x
  3. Step 3: Cross multiply
    1,018.11x = 1,527.13 × 324.82
  4. Step 4: Simplify right side
    1,018.11x = 496,036.09
  5. Step 5: Solve for x
    x = 496,036.09/1,018.11
  6. Step 6: Final answer
    x = 487.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.