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Finding the Fourth Proportional to 1,108, 1,662.48 and 697.60

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Solution

The fourth proportional to 1,108, 1,662.48 and 697.60 is: 1,046.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108 : 1,662.48 = 697.60 : x
  2. Step 2: Convert to fraction form
    1,108/1,662.48 = 697.60/x
  3. Step 3: Cross multiply
    1,108x = 1,662.48 × 697.60
  4. Step 4: Simplify right side
    1,108x = 1,159,746.05
  5. Step 5: Solve for x
    x = 1,159,746.05/1,108
  6. Step 6: Final answer
    x = 1,046.70

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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.