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Finding the Fourth Proportional to 833.52, 1,249.76 and 313.50

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Solution

The fourth proportional to 833.52, 1,249.76 and 313.50 is: 470.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.52 : 1,249.76 = 313.50 : x
  2. Step 2: Convert to fraction form
    833.52/1,249.76 = 313.50/x
  3. Step 3: Cross multiply
    833.52x = 1,249.76 × 313.50
  4. Step 4: Simplify right side
    833.52x = 391,799.76
  5. Step 5: Solve for x
    x = 391,799.76/833.52
  6. Step 6: Final answer
    x = 470.05

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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.