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Finding the Fourth Proportional to 1,522.16, 2,282.94 and 547.94

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Solution

The fourth proportional to 1,522.16, 2,282.94 and 547.94 is: 821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.16 : 2,282.94 = 547.94 : x
  2. Step 2: Convert to fraction form
    1,522.16/2,282.94 = 547.94/x
  3. Step 3: Cross multiply
    1,522.16x = 2,282.94 × 547.94
  4. Step 4: Simplify right side
    1,522.16x = 1,250,914.14
  5. Step 5: Solve for x
    x = 1,250,914.14/1,522.16
  6. Step 6: Final answer
    x = 821.80

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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.