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Finding the Fourth Proportional to 1,234.63, 1,852.40 and 541.17

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Solution

The fourth proportional to 1,234.63, 1,852.40 and 541.17 is: 811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.63 : 1,852.40 = 541.17 : x
  2. Step 2: Convert to fraction form
    1,234.63/1,852.40 = 541.17/x
  3. Step 3: Cross multiply
    1,234.63x = 1,852.40 × 541.17
  4. Step 4: Simplify right side
    1,234.63x = 1,002,464.66
  5. Step 5: Solve for x
    x = 1,002,464.66/1,234.63
  6. Step 6: Final answer
    x = 811.95

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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.