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Finding the Fourth Proportional to 1,103.99, 1,656.54 and 734.04

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Solution

The fourth proportional to 1,103.99, 1,656.54 and 734.04 is: 1,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.99 : 1,656.54 = 734.04 : x
  2. Step 2: Convert to fraction form
    1,103.99/1,656.54 = 734.04/x
  3. Step 3: Cross multiply
    1,103.99x = 1,656.54 × 734.04
  4. Step 4: Simplify right side
    1,103.99x = 1,215,966.62
  5. Step 5: Solve for x
    x = 1,215,966.62/1,103.99
  6. Step 6: Final answer
    x = 1,101.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.