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Finding the Fourth Proportional to 833.90, 1,249.99 and 313.54

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Solution

The fourth proportional to 833.90, 1,249.99 and 313.54 is: 469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.90 : 1,249.99 = 313.54 : x
  2. Step 2: Convert to fraction form
    833.90/1,249.99 = 313.54/x
  3. Step 3: Cross multiply
    833.90x = 1,249.99 × 313.54
  4. Step 4: Simplify right side
    833.90x = 391,917.96
  5. Step 5: Solve for x
    x = 391,917.96/833.90
  6. Step 6: Final answer
    x = 469.98

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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.