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Finding the Fourth Proportional to 1,014.96, 1,522.27 and 284.61

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Solution

The fourth proportional to 1,014.96, 1,522.27 and 284.61 is: 426.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.96 : 1,522.27 = 284.61 : x
  2. Step 2: Convert to fraction form
    1,014.96/1,522.27 = 284.61/x
  3. Step 3: Cross multiply
    1,014.96x = 1,522.27 × 284.61
  4. Step 4: Simplify right side
    1,014.96x = 433,253.26
  5. Step 5: Solve for x
    x = 433,253.26/1,014.96
  6. Step 6: Final answer
    x = 426.87

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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.