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Finding the Fourth Proportional to 703.67, 1,055.09 and 216.65

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Solution

The fourth proportional to 703.67, 1,055.09 and 216.65 is: 324.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.67 : 1,055.09 = 216.65 : x
  2. Step 2: Convert to fraction form
    703.67/1,055.09 = 216.65/x
  3. Step 3: Cross multiply
    703.67x = 1,055.09 × 216.65
  4. Step 4: Simplify right side
    703.67x = 228,588.43
  5. Step 5: Solve for x
    x = 228,588.43/703.67
  6. Step 6: Final answer
    x = 324.85

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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.