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Finding the Fourth Proportional to 1,018.26, 1,527.48 and 277.88

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Solution

The fourth proportional to 1,018.26, 1,527.48 and 277.88 is: 416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.26 : 1,527.48 = 277.88 : x
  2. Step 2: Convert to fraction form
    1,018.26/1,527.48 = 277.88/x
  3. Step 3: Cross multiply
    1,018.26x = 1,527.48 × 277.88
  4. Step 4: Simplify right side
    1,018.26x = 424,456.14
  5. Step 5: Solve for x
    x = 424,456.14/1,018.26
  6. Step 6: Final answer
    x = 416.84

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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.