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Finding the Fourth Proportional to 1,018.19, 1,527.38 and 287.78

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Solution

The fourth proportional to 1,018.19, 1,527.38 and 287.78 is: 431.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.19 : 1,527.38 = 287.78 : x
  2. Step 2: Convert to fraction form
    1,018.19/1,527.38 = 287.78/x
  3. Step 3: Cross multiply
    1,018.19x = 1,527.38 × 287.78
  4. Step 4: Simplify right side
    1,018.19x = 439,540.34
  5. Step 5: Solve for x
    x = 439,540.34/1,018.19
  6. Step 6: Final answer
    x = 431.69

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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.