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Finding the Fourth Proportional to 1,233.42, 1,849.29 and 411.61

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Solution

The fourth proportional to 1,233.42, 1,849.29 and 411.61 is: 617.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.42 : 1,849.29 = 411.61 : x
  2. Step 2: Convert to fraction form
    1,233.42/1,849.29 = 411.61/x
  3. Step 3: Cross multiply
    1,233.42x = 1,849.29 × 411.61
  4. Step 4: Simplify right side
    1,233.42x = 761,186.26
  5. Step 5: Solve for x
    x = 761,186.26/1,233.42
  6. Step 6: Final answer
    x = 617.13

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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.