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Finding the Fourth Proportional to 1,183.46, 1,775.20 and 317.76

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Solution

The fourth proportional to 1,183.46, 1,775.20 and 317.76 is: 476.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.46 : 1,775.20 = 317.76 : x
  2. Step 2: Convert to fraction form
    1,183.46/1,775.20 = 317.76/x
  3. Step 3: Cross multiply
    1,183.46x = 1,775.20 × 317.76
  4. Step 4: Simplify right side
    1,183.46x = 564,087.55
  5. Step 5: Solve for x
    x = 564,087.55/1,183.46
  6. Step 6: Final answer
    x = 476.64

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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.