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Finding the Fourth Proportional to 1,499.15, 2,249.09 and 574.69

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Solution

The fourth proportional to 1,499.15, 2,249.09 and 574.69 is: 862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.15 : 2,249.09 = 574.69 : x
  2. Step 2: Convert to fraction form
    1,499.15/2,249.09 = 574.69/x
  3. Step 3: Cross multiply
    1,499.15x = 2,249.09 × 574.69
  4. Step 4: Simplify right side
    1,499.15x = 1,292,529.53
  5. Step 5: Solve for x
    x = 1,292,529.53/1,499.15
  6. Step 6: Final answer
    x = 862.17

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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.