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Finding the Fourth Proportional to 1,014.24, 1,522.26 and 649.34

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Solution

The fourth proportional to 1,014.24, 1,522.26 and 649.34 is: 974.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.24 : 1,522.26 = 649.34 : x
  2. Step 2: Convert to fraction form
    1,014.24/1,522.26 = 649.34/x
  3. Step 3: Cross multiply
    1,014.24x = 1,522.26 × 649.34
  4. Step 4: Simplify right side
    1,014.24x = 988,464.31
  5. Step 5: Solve for x
    x = 988,464.31/1,014.24
  6. Step 6: Final answer
    x = 974.59

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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.