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Finding the Fourth Proportional to 1,522.83, 2,284.80 and 645.57

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Solution

The fourth proportional to 1,522.83, 2,284.80 and 645.57 is: 968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,522.83 : 2,284.80 = 645.57 : x
  2. Step 2: Convert to fraction form
    1,522.83/2,284.80 = 645.57/x
  3. Step 3: Cross multiply
    1,522.83x = 2,284.80 × 645.57
  4. Step 4: Simplify right side
    1,522.83x = 1,474,998.34
  5. Step 5: Solve for x
    x = 1,474,998.34/1,522.83
  6. Step 6: Final answer
    x = 968.59

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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.