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Finding the Fourth Proportional to 1,234.37, 1,852.07 and 540.68

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Solution

The fourth proportional to 1,234.37, 1,852.07 and 540.68 is: 811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.37 : 1,852.07 = 540.68 : x
  2. Step 2: Convert to fraction form
    1,234.37/1,852.07 = 540.68/x
  3. Step 3: Cross multiply
    1,234.37x = 1,852.07 × 540.68
  4. Step 4: Simplify right side
    1,234.37x = 1,001,365.24
  5. Step 5: Solve for x
    x = 1,001,365.24/1,234.37
  6. Step 6: Final answer
    x = 811.24

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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.