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Finding the Fourth Proportional to 703.07, 1,054.70 and 216.16

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Solution

The fourth proportional to 703.07, 1,054.70 and 216.16 is: 324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.07 : 1,054.70 = 216.16 : x
  2. Step 2: Convert to fraction form
    703.07/1,054.70 = 216.16/x
  3. Step 3: Cross multiply
    703.07x = 1,054.70 × 216.16
  4. Step 4: Simplify right side
    703.07x = 227,983.95
  5. Step 5: Solve for x
    x = 227,983.95/703.07
  6. Step 6: Final answer
    x = 324.27

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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.