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Finding the Fourth Proportional to 1,357.19, 2,035.49 and 626.66

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Solution

The fourth proportional to 1,357.19, 2,035.49 and 626.66 is: 939.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.19 : 2,035.49 = 626.66 : x
  2. Step 2: Convert to fraction form
    1,357.19/2,035.49 = 626.66/x
  3. Step 3: Cross multiply
    1,357.19x = 2,035.49 × 626.66
  4. Step 4: Simplify right side
    1,357.19x = 1,275,546.85
  5. Step 5: Solve for x
    x = 1,275,546.85/1,357.19
  6. Step 6: Final answer
    x = 939.85

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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.