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Finding the Fourth Proportional to 1,662.69, 2,494.05 and 508.44

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Solution

The fourth proportional to 1,662.69, 2,494.05 and 508.44 is: 762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.69 : 2,494.05 = 508.44 : x
  2. Step 2: Convert to fraction form
    1,662.69/2,494.05 = 508.44/x
  3. Step 3: Cross multiply
    1,662.69x = 2,494.05 × 508.44
  4. Step 4: Simplify right side
    1,662.69x = 1,268,074.78
  5. Step 5: Solve for x
    x = 1,268,074.78/1,662.69
  6. Step 6: Final answer
    x = 762.66

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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.