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Finding the Fourth Proportional to 1,018.56, 1,527.84 and 249.06

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Solution

The fourth proportional to 1,018.56, 1,527.84 and 249.06 is: 373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.56 : 1,527.84 = 249.06 : x
  2. Step 2: Convert to fraction form
    1,018.56/1,527.84 = 249.06/x
  3. Step 3: Cross multiply
    1,018.56x = 1,527.84 × 249.06
  4. Step 4: Simplify right side
    1,018.56x = 380,523.83
  5. Step 5: Solve for x
    x = 380,523.83/1,018.56
  6. Step 6: Final answer
    x = 373.59

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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.