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Finding the Fourth Proportional to 1,629.91, 2,444.40 and 459.84

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Solution

The fourth proportional to 1,629.91, 2,444.40 and 459.84 is: 689.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.91 : 2,444.40 = 459.84 : x
  2. Step 2: Convert to fraction form
    1,629.91/2,444.40 = 459.84/x
  3. Step 3: Cross multiply
    1,629.91x = 2,444.40 × 459.84
  4. Step 4: Simplify right side
    1,629.91x = 1,124,032.90
  5. Step 5: Solve for x
    x = 1,124,032.90/1,629.91
  6. Step 6: Final answer
    x = 689.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.