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Finding the Fourth Proportional to 944.24, 1,416.34 and 684.36

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Solution

The fourth proportional to 944.24, 1,416.34 and 684.36 is: 1,026.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.24 : 1,416.34 = 684.36 : x
  2. Step 2: Convert to fraction form
    944.24/1,416.34 = 684.36/x
  3. Step 3: Cross multiply
    944.24x = 1,416.34 × 684.36
  4. Step 4: Simplify right side
    944.24x = 969,287.30
  5. Step 5: Solve for x
    x = 969,287.30/944.24
  6. Step 6: Final answer
    x = 1,026.53

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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.