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Finding the Fourth Proportional to 697.28, 1,044.43 and 649.19

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Solution

The fourth proportional to 697.28, 1,044.43 and 649.19 is: 972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.28 : 1,044.43 = 649.19 : x
  2. Step 2: Convert to fraction form
    697.28/1,044.43 = 649.19/x
  3. Step 3: Cross multiply
    697.28x = 1,044.43 × 649.19
  4. Step 4: Simplify right side
    697.28x = 678,034.50
  5. Step 5: Solve for x
    x = 678,034.50/697.28
  6. Step 6: Final answer
    x = 972.41

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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.