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Finding the Fourth Proportional to 1,173.66, 1,759.68 and 556.85

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Solution

The fourth proportional to 1,173.66, 1,759.68 and 556.85 is: 834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.66 : 1,759.68 = 556.85 : x
  2. Step 2: Convert to fraction form
    1,173.66/1,759.68 = 556.85/x
  3. Step 3: Cross multiply
    1,173.66x = 1,759.68 × 556.85
  4. Step 4: Simplify right side
    1,173.66x = 979,869.01
  5. Step 5: Solve for x
    x = 979,869.01/1,173.66
  6. Step 6: Final answer
    x = 834.88

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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.