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Finding the Fourth Proportional to 1,522.96, 2,284.10 and 427.43

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Solution

The fourth proportional to 1,522.96, 2,284.10 and 427.43 is: 641.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.96 : 2,284.10 = 427.43 : x
  2. Step 2: Convert to fraction form
    1,522.96/2,284.10 = 427.43/x
  3. Step 3: Cross multiply
    1,522.96x = 2,284.10 × 427.43
  4. Step 4: Simplify right side
    1,522.96x = 976,298.04
  5. Step 5: Solve for x
    x = 976,298.04/1,522.96
  6. Step 6: Final answer
    x = 641.05

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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.