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Finding the Fourth Proportional to 1,293.99, 1,941.23 and 600.20

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Solution

The fourth proportional to 1,293.99, 1,941.23 and 600.20 is: 900.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.99 : 1,941.23 = 600.20 : x
  2. Step 2: Convert to fraction form
    1,293.99/1,941.23 = 600.20/x
  3. Step 3: Cross multiply
    1,293.99x = 1,941.23 × 600.20
  4. Step 4: Simplify right side
    1,293.99x = 1,165,126.25
  5. Step 5: Solve for x
    x = 1,165,126.25/1,293.99
  6. Step 6: Final answer
    x = 900.41

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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.