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Finding the Fourth Proportional to 601.92, 834.51 and 569.10

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Solution

The fourth proportional to 601.92, 834.51 and 569.10 is: 789.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 834.51 = 569.10 : x
  2. Step 2: Convert to fraction form
    601.92/834.51 = 569.10/x
  3. Step 3: Cross multiply
    601.92x = 834.51 × 569.10
  4. Step 4: Simplify right side
    601.92x = 474,919.64
  5. Step 5: Solve for x
    x = 474,919.64/601.92
  6. Step 6: Final answer
    x = 789.01

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.