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Finding the Fourth Proportional to 1,015.26, 1,522.81 and 284.82

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Solution

The fourth proportional to 1,015.26, 1,522.81 and 284.82 is: 427.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.26 : 1,522.81 = 284.82 : x
  2. Step 2: Convert to fraction form
    1,015.26/1,522.81 = 284.82/x
  3. Step 3: Cross multiply
    1,015.26x = 1,522.81 × 284.82
  4. Step 4: Simplify right side
    1,015.26x = 433,726.74
  5. Step 5: Solve for x
    x = 433,726.74/1,015.26
  6. Step 6: Final answer
    x = 427.21

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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.