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Finding the Fourth Proportional to 1,183.21, 1,775.58 and 533.91

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Solution

The fourth proportional to 1,183.21, 1,775.58 and 533.91 is: 801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.21 : 1,775.58 = 533.91 : x
  2. Step 2: Convert to fraction form
    1,183.21/1,775.58 = 533.91/x
  3. Step 3: Cross multiply
    1,183.21x = 1,775.58 × 533.91
  4. Step 4: Simplify right side
    1,183.21x = 947,999.92
  5. Step 5: Solve for x
    x = 947,999.92/1,183.21
  6. Step 6: Final answer
    x = 801.21

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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.