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Finding the Fourth Proportional to 1,166.63, 1,757.97 and 965.70

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Solution

The fourth proportional to 1,166.63, 1,757.97 and 965.70 is: 1,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.63 : 1,757.97 = 965.70 : x
  2. Step 2: Convert to fraction form
    1,166.63/1,757.97 = 965.70/x
  3. Step 3: Cross multiply
    1,166.63x = 1,757.97 × 965.70
  4. Step 4: Simplify right side
    1,166.63x = 1,697,671.63
  5. Step 5: Solve for x
    x = 1,697,671.63/1,166.63
  6. Step 6: Final answer
    x = 1,455.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.