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Finding the Fourth Proportional to 1,097.07, 1,644.65 and 447.38

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Solution

The fourth proportional to 1,097.07, 1,644.65 and 447.38 is: 670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.07 : 1,644.65 = 447.38 : x
  2. Step 2: Convert to fraction form
    1,097.07/1,644.65 = 447.38/x
  3. Step 3: Cross multiply
    1,097.07x = 1,644.65 × 447.38
  4. Step 4: Simplify right side
    1,097.07x = 735,783.52
  5. Step 5: Solve for x
    x = 735,783.52/1,097.07
  6. Step 6: Final answer
    x = 670.68

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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.