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Finding the Fourth Proportional to 833.01, 1,249.78 and 313.06

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Solution

The fourth proportional to 833.01, 1,249.78 and 313.06 is: 469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.01 : 1,249.78 = 313.06 : x
  2. Step 2: Convert to fraction form
    833.01/1,249.78 = 313.06/x
  3. Step 3: Cross multiply
    833.01x = 1,249.78 × 313.06
  4. Step 4: Simplify right side
    833.01x = 391,252.22
  5. Step 5: Solve for x
    x = 391,252.22/833.01
  6. Step 6: Final answer
    x = 469.68

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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.