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Finding the Fourth Proportional to 1,014.78, 1,522.23 and 284.31

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Solution

The fourth proportional to 1,014.78, 1,522.23 and 284.31 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.78 : 1,522.23 = 284.31 : x
  2. Step 2: Convert to fraction form
    1,014.78/1,522.23 = 284.31/x
  3. Step 3: Cross multiply
    1,014.78x = 1,522.23 × 284.31
  4. Step 4: Simplify right side
    1,014.78x = 432,785.21
  5. Step 5: Solve for x
    x = 432,785.21/1,014.78
  6. Step 6: Final answer
    x = 426.48

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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.