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Finding the Fourth Proportional to 833.56, 1,249.14 and 612.45

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Solution

The fourth proportional to 833.56, 1,249.14 and 612.45 is: 917.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.56 : 1,249.14 = 612.45 : x
  2. Step 2: Convert to fraction form
    833.56/1,249.14 = 612.45/x
  3. Step 3: Cross multiply
    833.56x = 1,249.14 × 612.45
  4. Step 4: Simplify right side
    833.56x = 765,026.49
  5. Step 5: Solve for x
    x = 765,026.49/833.56
  6. Step 6: Final answer
    x = 917.78

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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.