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Finding the Fourth Proportional to 1,216.64, 1,825.68 and 447.68

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Solution

The fourth proportional to 1,216.64, 1,825.68 and 447.68 is: 671.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.64 : 1,825.68 = 447.68 : x
  2. Step 2: Convert to fraction form
    1,216.64/1,825.68 = 447.68/x
  3. Step 3: Cross multiply
    1,216.64x = 1,825.68 × 447.68
  4. Step 4: Simplify right side
    1,216.64x = 817,320.42
  5. Step 5: Solve for x
    x = 817,320.42/1,216.64
  6. Step 6: Final answer
    x = 671.78

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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.