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Finding the Fourth Proportional to 703.89, 1,055.83 and 216.94

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Solution

The fourth proportional to 703.89, 1,055.83 and 216.94 is: 325.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.89 : 1,055.83 = 216.94 : x
  2. Step 2: Convert to fraction form
    703.89/1,055.83 = 216.94/x
  3. Step 3: Cross multiply
    703.89x = 1,055.83 × 216.94
  4. Step 4: Simplify right side
    703.89x = 229,046.48
  5. Step 5: Solve for x
    x = 229,046.48/703.89
  6. Step 6: Final answer
    x = 325.40

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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.