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Finding the Fourth Proportional to 833.76, 1,249.80 and 347.22

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Solution

The fourth proportional to 833.76, 1,249.80 and 347.22 is: 520.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.76 : 1,249.80 = 347.22 : x
  2. Step 2: Convert to fraction form
    833.76/1,249.80 = 347.22/x
  3. Step 3: Cross multiply
    833.76x = 1,249.80 × 347.22
  4. Step 4: Simplify right side
    833.76x = 433,955.56
  5. Step 5: Solve for x
    x = 433,955.56/833.76
  6. Step 6: Final answer
    x = 520.48

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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.