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Finding the Fourth Proportional to 1,104.70, 1,657.25 and 670.94

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Solution

The fourth proportional to 1,104.70, 1,657.25 and 670.94 is: 1,006.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104.70 : 1,657.25 = 670.94 : x
  2. Step 2: Convert to fraction form
    1,104.70/1,657.25 = 670.94/x
  3. Step 3: Cross multiply
    1,104.70x = 1,657.25 × 670.94
  4. Step 4: Simplify right side
    1,104.70x = 1,111,921.14
  5. Step 5: Solve for x
    x = 1,111,921.14/1,104.70
  6. Step 6: Final answer
    x = 1,006.54

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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.