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Finding the Fourth Proportional to 1,635.02, 2,451.69 and 594.78

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Solution

The fourth proportional to 1,635.02, 2,451.69 and 594.78 is: 891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635.02 : 2,451.69 = 594.78 : x
  2. Step 2: Convert to fraction form
    1,635.02/2,451.69 = 594.78/x
  3. Step 3: Cross multiply
    1,635.02x = 2,451.69 × 594.78
  4. Step 4: Simplify right side
    1,635.02x = 1,458,216.18
  5. Step 5: Solve for x
    x = 1,458,216.18/1,635.02
  6. Step 6: Final answer
    x = 891.87

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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.