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Finding the Fourth Proportional to 1,097.40, 1,644.86 and 967.52

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Solution

The fourth proportional to 1,097.40, 1,644.86 and 967.52 is: 1,450.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.40 : 1,644.86 = 967.52 : x
  2. Step 2: Convert to fraction form
    1,097.40/1,644.86 = 967.52/x
  3. Step 3: Cross multiply
    1,097.40x = 1,644.86 × 967.52
  4. Step 4: Simplify right side
    1,097.40x = 1,591,434.95
  5. Step 5: Solve for x
    x = 1,591,434.95/1,097.40
  6. Step 6: Final answer
    x = 1,450.19

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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.