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Finding the Fourth Proportional to 1,097.32, 1,644.72 and 447.36

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Solution

The fourth proportional to 1,097.32, 1,644.72 and 447.36 is: 670.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.32 : 1,644.72 = 447.36 : x
  2. Step 2: Convert to fraction form
    1,097.32/1,644.72 = 447.36/x
  3. Step 3: Cross multiply
    1,097.32x = 1,644.72 × 447.36
  4. Step 4: Simplify right side
    1,097.32x = 735,781.94
  5. Step 5: Solve for x
    x = 735,781.94/1,097.32
  6. Step 6: Final answer
    x = 670.53

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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.