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Finding the Fourth Proportional to 1,105.59, 1,656.90 and 455.97

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Solution

The fourth proportional to 1,105.59, 1,656.90 and 455.97 is: 683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.59 : 1,656.90 = 455.97 : x
  2. Step 2: Convert to fraction form
    1,105.59/1,656.90 = 455.97/x
  3. Step 3: Cross multiply
    1,105.59x = 1,656.90 × 455.97
  4. Step 4: Simplify right side
    1,105.59x = 755,496.69
  5. Step 5: Solve for x
    x = 755,496.69/1,105.59
  6. Step 6: Final answer
    x = 683.34

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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.