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Finding the Fourth Proportional to 1,523.96, 2,284.69 and 976

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Solution

The fourth proportional to 1,523.96, 2,284.69 and 976 is: 1,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.96 : 2,284.69 = 976 : x
  2. Step 2: Convert to fraction form
    1,523.96/2,284.69 = 976/x
  3. Step 3: Cross multiply
    1,523.96x = 2,284.69 × 976
  4. Step 4: Simplify right side
    1,523.96x = 2,229,857.44
  5. Step 5: Solve for x
    x = 2,229,857.44/1,523.96
  6. Step 6: Final answer
    x = 1,463.20

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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.