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Finding the Fourth Proportional to 1,103.96, 1,523.95 and 730.28

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Solution

The fourth proportional to 1,103.96, 1,523.95 and 730.28 is: 1,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.96 : 1,523.95 = 730.28 : x
  2. Step 2: Convert to fraction form
    1,103.96/1,523.95 = 730.28/x
  3. Step 3: Cross multiply
    1,103.96x = 1,523.95 × 730.28
  4. Step 4: Simplify right side
    1,103.96x = 1,112,912.19
  5. Step 5: Solve for x
    x = 1,112,912.19/1,103.96
  6. Step 6: Final answer
    x = 1,008.11

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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.