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Finding the Fourth Proportional to 1,105.82, 1,655.23 and 734.89

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Solution

The fourth proportional to 1,105.82, 1,655.23 and 734.89 is: 1,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.82 : 1,655.23 = 734.89 : x
  2. Step 2: Convert to fraction form
    1,105.82/1,655.23 = 734.89/x
  3. Step 3: Cross multiply
    1,105.82x = 1,655.23 × 734.89
  4. Step 4: Simplify right side
    1,105.82x = 1,216,411.97
  5. Step 5: Solve for x
    x = 1,216,411.97/1,105.82
  6. Step 6: Final answer
    x = 1,100.01

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