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Finding the Fourth Proportional to 1,104.76, 1,656.26 and 757.04

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Solution

The fourth proportional to 1,104.76, 1,656.26 and 757.04 is: 1,134.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.76 : 1,656.26 = 757.04 : x
  2. Step 2: Convert to fraction form
    1,104.76/1,656.26 = 757.04/x
  3. Step 3: Cross multiply
    1,104.76x = 1,656.26 × 757.04
  4. Step 4: Simplify right side
    1,104.76x = 1,253,855.07
  5. Step 5: Solve for x
    x = 1,253,855.07/1,104.76
  6. Step 6: Final answer
    x = 1,134.96

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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.