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Finding the Fourth Proportional to 1,183.88, 1,775.82 and 534.47

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Solution

The fourth proportional to 1,183.88, 1,775.82 and 534.47 is: 801.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.88 : 1,775.82 = 534.47 : x
  2. Step 2: Convert to fraction form
    1,183.88/1,775.82 = 534.47/x
  3. Step 3: Cross multiply
    1,183.88x = 1,775.82 × 534.47
  4. Step 4: Simplify right side
    1,183.88x = 949,115.64
  5. Step 5: Solve for x
    x = 949,115.64/1,183.88
  6. Step 6: Final answer
    x = 801.70

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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.