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Finding the Fourth Proportional to 1,449.64, 2,174.46 and 583.84

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Solution

The fourth proportional to 1,449.64, 2,174.46 and 583.84 is: 875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.64 : 2,174.46 = 583.84 : x
  2. Step 2: Convert to fraction form
    1,449.64/2,174.46 = 583.84/x
  3. Step 3: Cross multiply
    1,449.64x = 2,174.46 × 583.84
  4. Step 4: Simplify right side
    1,449.64x = 1,269,536.73
  5. Step 5: Solve for x
    x = 1,269,536.73/1,449.64
  6. Step 6: Final answer
    x = 875.76

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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.