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Finding the Fourth Proportional to 1,300.68, 1,949.22 and 606.60

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Solution

The fourth proportional to 1,300.68, 1,949.22 and 606.60 is: 909.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.68 : 1,949.22 = 606.60 : x
  2. Step 2: Convert to fraction form
    1,300.68/1,949.22 = 606.60/x
  3. Step 3: Cross multiply
    1,300.68x = 1,949.22 × 606.60
  4. Step 4: Simplify right side
    1,300.68x = 1,182,396.85
  5. Step 5: Solve for x
    x = 1,182,396.85/1,300.68
  6. Step 6: Final answer
    x = 909.06

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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.