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Finding the Fourth Proportional to 1,465.66, 2,198.84 and 599.97

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Solution

The fourth proportional to 1,465.66, 2,198.84 and 599.97 is: 900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.66 : 2,198.84 = 599.97 : x
  2. Step 2: Convert to fraction form
    1,465.66/2,198.84 = 599.97/x
  3. Step 3: Cross multiply
    1,465.66x = 2,198.84 × 599.97
  4. Step 4: Simplify right side
    1,465.66x = 1,319,238.03
  5. Step 5: Solve for x
    x = 1,319,238.03/1,465.66
  6. Step 6: Final answer
    x = 900.10

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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.