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Finding the Fourth Proportional to 697.44, 1,044.81 and 372.36

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Solution

The fourth proportional to 697.44, 1,044.81 and 372.36 is: 557.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.44 : 1,044.81 = 372.36 : x
  2. Step 2: Convert to fraction form
    697.44/1,044.81 = 372.36/x
  3. Step 3: Cross multiply
    697.44x = 1,044.81 × 372.36
  4. Step 4: Simplify right side
    697.44x = 389,045.45
  5. Step 5: Solve for x
    x = 389,045.45/697.44
  6. Step 6: Final answer
    x = 557.82

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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.