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Finding the Fourth Proportional to 940.64, 1,408.52 and 649.04

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Solution

The fourth proportional to 940.64, 1,408.52 and 649.04 is: 971.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    940.64 : 1,408.52 = 649.04 : x
  2. Step 2: Convert to fraction form
    940.64/1,408.52 = 649.04/x
  3. Step 3: Cross multiply
    940.64x = 1,408.52 × 649.04
  4. Step 4: Simplify right side
    940.64x = 914,180.40
  5. Step 5: Solve for x
    x = 914,180.40/940.64
  6. Step 6: Final answer
    x = 971.88

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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.