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Finding the Fourth Proportional to 1,103.52, 1,523.04 and 684

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Solution

The fourth proportional to 1,103.52, 1,523.04 and 684 is: 944.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.52 : 1,523.04 = 684 : x
  2. Step 2: Convert to fraction form
    1,103.52/1,523.04 = 684/x
  3. Step 3: Cross multiply
    1,103.52x = 1,523.04 × 684
  4. Step 4: Simplify right side
    1,103.52x = 1,041,759.36
  5. Step 5: Solve for x
    x = 1,041,759.36/1,103.52
  6. Step 6: Final answer
    x = 944.03

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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.