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Finding the Fourth Proportional to 1,244.36, 1,867.39 and 513.93

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Solution

The fourth proportional to 1,244.36, 1,867.39 and 513.93 is: 771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.36 : 1,867.39 = 513.93 : x
  2. Step 2: Convert to fraction form
    1,244.36/1,867.39 = 513.93/x
  3. Step 3: Cross multiply
    1,244.36x = 1,867.39 × 513.93
  4. Step 4: Simplify right side
    1,244.36x = 959,705.17
  5. Step 5: Solve for x
    x = 959,705.17/1,244.36
  6. Step 6: Final answer
    x = 771.24

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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.