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Finding the Fourth Proportional to 685.26, 1,026.54 and 319.55

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Solution

The fourth proportional to 685.26, 1,026.54 and 319.55 is: 478.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.26 : 1,026.54 = 319.55 : x
  2. Step 2: Convert to fraction form
    685.26/1,026.54 = 319.55/x
  3. Step 3: Cross multiply
    685.26x = 1,026.54 × 319.55
  4. Step 4: Simplify right side
    685.26x = 328,025.72
  5. Step 5: Solve for x
    x = 328,025.72/685.26
  6. Step 6: Final answer
    x = 478.69

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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.