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Finding the Fourth Proportional to 1,183.63, 1,774.43 and 452.69

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Solution

The fourth proportional to 1,183.63, 1,774.43 and 452.69 is: 678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183.63 : 1,774.43 = 452.69 : x
  2. Step 2: Convert to fraction form
    1,183.63/1,774.43 = 452.69/x
  3. Step 3: Cross multiply
    1,183.63x = 1,774.43 × 452.69
  4. Step 4: Simplify right side
    1,183.63x = 803,264.45
  5. Step 5: Solve for x
    x = 803,264.45/1,183.63
  6. Step 6: Final answer
    x = 678.65

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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.