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Finding the Fourth Proportional to 1,523.22, 2,284.62 and 657.42

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Solution

The fourth proportional to 1,523.22, 2,284.62 and 657.42 is: 986.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.22 : 2,284.62 = 657.42 : x
  2. Step 2: Convert to fraction form
    1,523.22/2,284.62 = 657.42/x
  3. Step 3: Cross multiply
    1,523.22x = 2,284.62 × 657.42
  4. Step 4: Simplify right side
    1,523.22x = 1,501,954.88
  5. Step 5: Solve for x
    x = 1,501,954.88/1,523.22
  6. Step 6: Final answer
    x = 986.04

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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.