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Finding the Fourth Proportional to 1,103.93, 1,523.39 and 606.53

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Solution

The fourth proportional to 1,103.93, 1,523.39 and 606.53 is: 836.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.93 : 1,523.39 = 606.53 : x
  2. Step 2: Convert to fraction form
    1,103.93/1,523.39 = 606.53/x
  3. Step 3: Cross multiply
    1,103.93x = 1,523.39 × 606.53
  4. Step 4: Simplify right side
    1,103.93x = 923,975.64
  5. Step 5: Solve for x
    x = 923,975.64/1,103.93
  6. Step 6: Final answer
    x = 836.99

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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.