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Finding the Fourth Proportional to 1,183.64, 1,774.92 and 452.70

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Solution

The fourth proportional to 1,183.64, 1,774.92 and 452.70 is: 678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.64 : 1,774.92 = 452.70 : x
  2. Step 2: Convert to fraction form
    1,183.64/1,774.92 = 452.70/x
  3. Step 3: Cross multiply
    1,183.64x = 1,774.92 × 452.70
  4. Step 4: Simplify right side
    1,183.64x = 803,506.28
  5. Step 5: Solve for x
    x = 803,506.28/1,183.64
  6. Step 6: Final answer
    x = 678.84

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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.