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Finding the Fourth Proportional to 1,357.26, 2,035.58 and 626.13

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Solution

The fourth proportional to 1,357.26, 2,035.58 and 626.13 is: 939.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.26 : 2,035.58 = 626.13 : x
  2. Step 2: Convert to fraction form
    1,357.26/2,035.58 = 626.13/x
  3. Step 3: Cross multiply
    1,357.26x = 2,035.58 × 626.13
  4. Step 4: Simplify right side
    1,357.26x = 1,274,538.10
  5. Step 5: Solve for x
    x = 1,274,538.10/1,357.26
  6. Step 6: Final answer
    x = 939.05

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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.