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Finding the Fourth Proportional to 1,168.78, 1,612.92 and 637.66

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Solution

The fourth proportional to 1,168.78, 1,612.92 and 637.66 is: 879.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.78 : 1,612.92 = 637.66 : x
  2. Step 2: Convert to fraction form
    1,168.78/1,612.92 = 637.66/x
  3. Step 3: Cross multiply
    1,168.78x = 1,612.92 × 637.66
  4. Step 4: Simplify right side
    1,168.78x = 1,028,499.45
  5. Step 5: Solve for x
    x = 1,028,499.45/1,168.78
  6. Step 6: Final answer
    x = 879.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.