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Finding the Fourth Proportional to 1,183.04, 1,773.76 and 566.88

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Solution

The fourth proportional to 1,183.04, 1,773.76 and 566.88 is: 849.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.04 : 1,773.76 = 566.88 : x
  2. Step 2: Convert to fraction form
    1,183.04/1,773.76 = 566.88/x
  3. Step 3: Cross multiply
    1,183.04x = 1,773.76 × 566.88
  4. Step 4: Simplify right side
    1,183.04x = 1,005,509.07
  5. Step 5: Solve for x
    x = 1,005,509.07/1,183.04
  6. Step 6: Final answer
    x = 849.94

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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.