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Finding the Fourth Proportional to 1,183.33, 1,773.91 and 533.71

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Solution

The fourth proportional to 1,183.33, 1,773.91 and 533.71 is: 800.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.33 : 1,773.91 = 533.71 : x
  2. Step 2: Convert to fraction form
    1,183.33/1,773.91 = 533.71/x
  3. Step 3: Cross multiply
    1,183.33x = 1,773.91 × 533.71
  4. Step 4: Simplify right side
    1,183.33x = 946,753.51
  5. Step 5: Solve for x
    x = 946,753.51/1,183.33
  6. Step 6: Final answer
    x = 800.08

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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.