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Finding the Fourth Proportional to 703.23, 1,054.77 and 209.59

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Solution

The fourth proportional to 703.23, 1,054.77 and 209.59 is: 314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.23 : 1,054.77 = 209.59 : x
  2. Step 2: Convert to fraction form
    703.23/1,054.77 = 209.59/x
  3. Step 3: Cross multiply
    703.23x = 1,054.77 × 209.59
  4. Step 4: Simplify right side
    703.23x = 221,067.00
  5. Step 5: Solve for x
    x = 221,067.00/703.23
  6. Step 6: Final answer
    x = 314.36

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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.