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Finding the Fourth Proportional to 685.79, 1,029.08 and 290.45

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Solution

The fourth proportional to 685.79, 1,029.08 and 290.45 is: 435.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.79 : 1,029.08 = 290.45 : x
  2. Step 2: Convert to fraction form
    685.79/1,029.08 = 290.45/x
  3. Step 3: Cross multiply
    685.79x = 1,029.08 × 290.45
  4. Step 4: Simplify right side
    685.79x = 298,891.87
  5. Step 5: Solve for x
    x = 298,891.87/685.79
  6. Step 6: Final answer
    x = 435.83

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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.