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Finding the Fourth Proportional to 1,157.44, 1,734.14 and 963.69

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Solution

The fourth proportional to 1,157.44, 1,734.14 and 963.69 is: 1,443.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.44 : 1,734.14 = 963.69 : x
  2. Step 2: Convert to fraction form
    1,157.44/1,734.14 = 963.69/x
  3. Step 3: Cross multiply
    1,157.44x = 1,734.14 × 963.69
  4. Step 4: Simplify right side
    1,157.44x = 1,671,166.87
  5. Step 5: Solve for x
    x = 1,671,166.87/1,157.44
  6. Step 6: Final answer
    x = 1,443.85

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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.