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Finding the Fourth Proportional to 1,239.43, 1,860.08 and 459.91

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Solution

The fourth proportional to 1,239.43, 1,860.08 and 459.91 is: 690.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.43 : 1,860.08 = 459.91 : x
  2. Step 2: Convert to fraction form
    1,239.43/1,860.08 = 459.91/x
  3. Step 3: Cross multiply
    1,239.43x = 1,860.08 × 459.91
  4. Step 4: Simplify right side
    1,239.43x = 855,469.39
  5. Step 5: Solve for x
    x = 855,469.39/1,239.43
  6. Step 6: Final answer
    x = 690.21

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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.