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Finding the Fourth Proportional to 1,421.80, 2,132.99 and 600.07

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Solution

The fourth proportional to 1,421.80, 2,132.99 and 600.07 is: 900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.80 : 2,132.99 = 600.07 : x
  2. Step 2: Convert to fraction form
    1,421.80/2,132.99 = 600.07/x
  3. Step 3: Cross multiply
    1,421.80x = 2,132.99 × 600.07
  4. Step 4: Simplify right side
    1,421.80x = 1,279,947.14
  5. Step 5: Solve for x
    x = 1,279,947.14/1,421.80
  6. Step 6: Final answer
    x = 900.23

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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.