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Finding the Fourth Proportional to 1,300.40, 1,949.22 and 606.26

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Solution

The fourth proportional to 1,300.40, 1,949.22 and 606.26 is: 908.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.40 : 1,949.22 = 606.26 : x
  2. Step 2: Convert to fraction form
    1,300.40/1,949.22 = 606.26/x
  3. Step 3: Cross multiply
    1,300.40x = 1,949.22 × 606.26
  4. Step 4: Simplify right side
    1,300.40x = 1,181,734.12
  5. Step 5: Solve for x
    x = 1,181,734.12/1,300.40
  6. Step 6: Final answer
    x = 908.75

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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.