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Finding the Fourth Proportional to 1,103.24, 1,523.19 and 684.04

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Solution

The fourth proportional to 1,103.24, 1,523.19 and 684.04 is: 944.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.24 : 1,523.19 = 684.04 : x
  2. Step 2: Convert to fraction form
    1,103.24/1,523.19 = 684.04/x
  3. Step 3: Cross multiply
    1,103.24x = 1,523.19 × 684.04
  4. Step 4: Simplify right side
    1,103.24x = 1,041,915.66
  5. Step 5: Solve for x
    x = 1,041,915.66/1,103.24
  6. Step 6: Final answer
    x = 944.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.