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Finding the Fourth Proportional to 1,259.22, 1,737.06 and 1,174.70

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Solution

The fourth proportional to 1,259.22, 1,737.06 and 1,174.70 is: 1,620.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.22 : 1,737.06 = 1,174.70 : x
  2. Step 2: Convert to fraction form
    1,259.22/1,737.06 = 1,174.70/x
  3. Step 3: Cross multiply
    1,259.22x = 1,737.06 × 1,174.70
  4. Step 4: Simplify right side
    1,259.22x = 2,040,524.38
  5. Step 5: Solve for x
    x = 2,040,524.38/1,259.22
  6. Step 6: Final answer
    x = 1,620.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.