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Finding the Fourth Proportional to 1,662.78, 2,493.29 and 508.22

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Solution

The fourth proportional to 1,662.78, 2,493.29 and 508.22 is: 762.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662.78 : 2,493.29 = 508.22 : x
  2. Step 2: Convert to fraction form
    1,662.78/2,493.29 = 508.22/x
  3. Step 3: Cross multiply
    1,662.78x = 2,493.29 × 508.22
  4. Step 4: Simplify right side
    1,662.78x = 1,267,139.84
  5. Step 5: Solve for x
    x = 1,267,139.84/1,662.78
  6. Step 6: Final answer
    x = 762.06

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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.