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Finding the Fourth Proportional to 1,103.37, 1,654.92 and 454.10

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Solution

The fourth proportional to 1,103.37, 1,654.92 and 454.10 is: 681.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.37 : 1,654.92 = 454.10 : x
  2. Step 2: Convert to fraction form
    1,103.37/1,654.92 = 454.10/x
  3. Step 3: Cross multiply
    1,103.37x = 1,654.92 × 454.10
  4. Step 4: Simplify right side
    1,103.37x = 751,490.90
  5. Step 5: Solve for x
    x = 751,490.90/1,103.37
  6. Step 6: Final answer
    x = 681.09

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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.