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Finding the Fourth Proportional to 1,102.55, 1,657.26 and 694.31

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Solution

The fourth proportional to 1,102.55, 1,657.26 and 694.31 is: 1,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.55 : 1,657.26 = 694.31 : x
  2. Step 2: Convert to fraction form
    1,102.55/1,657.26 = 694.31/x
  3. Step 3: Cross multiply
    1,102.55x = 1,657.26 × 694.31
  4. Step 4: Simplify right side
    1,102.55x = 1,150,643.90
  5. Step 5: Solve for x
    x = 1,150,643.90/1,102.55
  6. Step 6: Final answer
    x = 1,043.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.