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Finding the Fourth Proportional to 703.18, 1,054.62 and 216.11

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Solution

The fourth proportional to 703.18, 1,054.62 and 216.11 is: 324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.18 : 1,054.62 = 216.11 : x
  2. Step 2: Convert to fraction form
    703.18/1,054.62 = 216.11/x
  3. Step 3: Cross multiply
    703.18x = 1,054.62 × 216.11
  4. Step 4: Simplify right side
    703.18x = 227,913.93
  5. Step 5: Solve for x
    x = 227,913.93/703.18
  6. Step 6: Final answer
    x = 324.12

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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.