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Finding the Fourth Proportional to 822.71, 1,234.07 and 360.14

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Solution

The fourth proportional to 822.71, 1,234.07 and 360.14 is: 540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.71 : 1,234.07 = 360.14 : x
  2. Step 2: Convert to fraction form
    822.71/1,234.07 = 360.14/x
  3. Step 3: Cross multiply
    822.71x = 1,234.07 × 360.14
  4. Step 4: Simplify right side
    822.71x = 444,430.00
  5. Step 5: Solve for x
    x = 444,430.00/822.71
  6. Step 6: Final answer
    x = 540.21

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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.