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Finding the Fourth Proportional to 1,234.67, 1,852.01 and 541.18

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Solution

The fourth proportional to 1,234.67, 1,852.01 and 541.18 is: 811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.67 : 1,852.01 = 541.18 : x
  2. Step 2: Convert to fraction form
    1,234.67/1,852.01 = 541.18/x
  3. Step 3: Cross multiply
    1,234.67x = 1,852.01 × 541.18
  4. Step 4: Simplify right side
    1,234.67x = 1,002,258.81
  5. Step 5: Solve for x
    x = 1,002,258.81/1,234.67
  6. Step 6: Final answer
    x = 811.76

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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.