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Finding the Fourth Proportional to 685.46, 1,027.82 and 319.93

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Solution

The fourth proportional to 685.46, 1,027.82 and 319.93 is: 479.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.46 : 1,027.82 = 319.93 : x
  2. Step 2: Convert to fraction form
    685.46/1,027.82 = 319.93/x
  3. Step 3: Cross multiply
    685.46x = 1,027.82 × 319.93
  4. Step 4: Simplify right side
    685.46x = 328,828.68
  5. Step 5: Solve for x
    x = 328,828.68/685.46
  6. Step 6: Final answer
    x = 479.72

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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.