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Finding the Fourth Proportional to 1,421.68, 2,131.26 and 599.68

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Solution

The fourth proportional to 1,421.68, 2,131.26 and 599.68 is: 898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.68 : 2,131.26 = 599.68 : x
  2. Step 2: Convert to fraction form
    1,421.68/2,131.26 = 599.68/x
  3. Step 3: Cross multiply
    1,421.68x = 2,131.26 × 599.68
  4. Step 4: Simplify right side
    1,421.68x = 1,278,074.00
  5. Step 5: Solve for x
    x = 1,278,074.00/1,421.68
  6. Step 6: Final answer
    x = 898.99

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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.