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Finding the Fourth Proportional to 685.86, 1,029.06 and 295.98

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Solution

The fourth proportional to 685.86, 1,029.06 and 295.98 is: 444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.86 : 1,029.06 = 295.98 : x
  2. Step 2: Convert to fraction form
    685.86/1,029.06 = 295.98/x
  3. Step 3: Cross multiply
    685.86x = 1,029.06 × 295.98
  4. Step 4: Simplify right side
    685.86x = 304,581.18
  5. Step 5: Solve for x
    x = 304,581.18/685.86
  6. Step 6: Final answer
    x = 444.09

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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.