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Finding the Fourth Proportional to 1,340.18, 2,011.22 and 599.98

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Solution

The fourth proportional to 1,340.18, 2,011.22 and 599.98 is: 900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.18 : 2,011.22 = 599.98 : x
  2. Step 2: Convert to fraction form
    1,340.18/2,011.22 = 599.98/x
  3. Step 3: Cross multiply
    1,340.18x = 2,011.22 × 599.98
  4. Step 4: Simplify right side
    1,340.18x = 1,206,686.00
  5. Step 5: Solve for x
    x = 1,206,686.00/1,340.18
  6. Step 6: Final answer
    x = 900.39

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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.