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Finding the Fourth Proportional to 1,233.16, 1,849.86 and 411.44

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Solution

The fourth proportional to 1,233.16, 1,849.86 and 411.44 is: 617.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.16 : 1,849.86 = 411.44 : x
  2. Step 2: Convert to fraction form
    1,233.16/1,849.86 = 411.44/x
  3. Step 3: Cross multiply
    1,233.16x = 1,849.86 × 411.44
  4. Step 4: Simplify right side
    1,233.16x = 761,097.15
  5. Step 5: Solve for x
    x = 761,097.15/1,233.16
  6. Step 6: Final answer
    x = 617.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.