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Finding the Fourth Proportional to 1,015.22, 1,522.70 and 284.84

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Solution

The fourth proportional to 1,015.22, 1,522.70 and 284.84 is: 427.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,015.22 : 1,522.70 = 284.84 : x
  2. Step 2: Convert to fraction form
    1,015.22/1,522.70 = 284.84/x
  3. Step 3: Cross multiply
    1,015.22x = 1,522.70 × 284.84
  4. Step 4: Simplify right side
    1,015.22x = 433,728.25
  5. Step 5: Solve for x
    x = 433,728.25/1,015.22
  6. Step 6: Final answer
    x = 427.23

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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.