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Finding the Fourth Proportional to 1,629.59, 2,443.06 and 654.75

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Solution

The fourth proportional to 1,629.59, 2,443.06 and 654.75 is: 981.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.59 : 2,443.06 = 654.75 : x
  2. Step 2: Convert to fraction form
    1,629.59/2,443.06 = 654.75/x
  3. Step 3: Cross multiply
    1,629.59x = 2,443.06 × 654.75
  4. Step 4: Simplify right side
    1,629.59x = 1,599,594.35
  5. Step 5: Solve for x
    x = 1,599,594.35/1,629.59
  6. Step 6: Final answer
    x = 981.60

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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.