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Finding the Fourth Proportional to 1,103.67, 1,653.21 and 663.53

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Solution

The fourth proportional to 1,103.67, 1,653.21 and 663.53 is: 993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.67 : 1,653.21 = 663.53 : x
  2. Step 2: Convert to fraction form
    1,103.67/1,653.21 = 663.53/x
  3. Step 3: Cross multiply
    1,103.67x = 1,653.21 × 663.53
  4. Step 4: Simplify right side
    1,103.67x = 1,096,946.17
  5. Step 5: Solve for x
    x = 1,096,946.17/1,103.67
  6. Step 6: Final answer
    x = 993.91

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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.