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Finding the Fourth Proportional to 1,183.16, 1,775.42 and 533.94

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Solution

The fourth proportional to 1,183.16, 1,775.42 and 533.94 is: 801.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.16 : 1,775.42 = 533.94 : x
  2. Step 2: Convert to fraction form
    1,183.16/1,775.42 = 533.94/x
  3. Step 3: Cross multiply
    1,183.16x = 1,775.42 × 533.94
  4. Step 4: Simplify right side
    1,183.16x = 947,965.09
  5. Step 5: Solve for x
    x = 947,965.09/1,183.16
  6. Step 6: Final answer
    x = 801.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.