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Finding the Fourth Proportional to 1,103.79, 1,523.30 and 730.11

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Solution

The fourth proportional to 1,103.79, 1,523.30 and 730.11 is: 1,007.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.79 : 1,523.30 = 730.11 : x
  2. Step 2: Convert to fraction form
    1,103.79/1,523.30 = 730.11/x
  3. Step 3: Cross multiply
    1,103.79x = 1,523.30 × 730.11
  4. Step 4: Simplify right side
    1,103.79x = 1,112,176.56
  5. Step 5: Solve for x
    x = 1,112,176.56/1,103.79
  6. Step 6: Final answer
    x = 1,007.60

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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.