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Finding the Fourth Proportional to 1,105.44, 1,656.26 and 671.70

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Solution

The fourth proportional to 1,105.44, 1,656.26 and 671.70 is: 1,006.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.44 : 1,656.26 = 671.70 : x
  2. Step 2: Convert to fraction form
    1,105.44/1,656.26 = 671.70/x
  3. Step 3: Cross multiply
    1,105.44x = 1,656.26 × 671.70
  4. Step 4: Simplify right side
    1,105.44x = 1,112,509.84
  5. Step 5: Solve for x
    x = 1,112,509.84/1,105.44
  6. Step 6: Final answer
    x = 1,006.40

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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.