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Finding the Fourth Proportional to 1,499.18, 2,249.03 and 459.16

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Solution

The fourth proportional to 1,499.18, 2,249.03 and 459.16 is: 688.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.18 : 2,249.03 = 459.16 : x
  2. Step 2: Convert to fraction form
    1,499.18/2,249.03 = 459.16/x
  3. Step 3: Cross multiply
    1,499.18x = 2,249.03 × 459.16
  4. Step 4: Simplify right side
    1,499.18x = 1,032,658.99
  5. Step 5: Solve for x
    x = 1,032,658.99/1,499.18
  6. Step 6: Final answer
    x = 688.82

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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.