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Finding the Fourth Proportional to 1,166.56, 1,757.84 and 965.63

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Solution

The fourth proportional to 1,166.56, 1,757.84 and 965.63 is: 1,455.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,166.56 : 1,757.84 = 965.63 : x
  2. Step 2: Convert to fraction form
    1,166.56/1,757.84 = 965.63/x
  3. Step 3: Cross multiply
    1,166.56x = 1,757.84 × 965.63
  4. Step 4: Simplify right side
    1,166.56x = 1,697,422.61
  5. Step 5: Solve for x
    x = 1,697,422.61/1,166.56
  6. Step 6: Final answer
    x = 1,455.07

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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.