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Finding the Fourth Proportional to 606.26, 907.68 and 586.82

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Solution

The fourth proportional to 606.26, 907.68 and 586.82 is: 878.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.26 : 907.68 = 586.82 : x
  2. Step 2: Convert to fraction form
    606.26/907.68 = 586.82/x
  3. Step 3: Cross multiply
    606.26x = 907.68 × 586.82
  4. Step 4: Simplify right side
    606.26x = 532,644.78
  5. Step 5: Solve for x
    x = 532,644.78/606.26
  6. Step 6: Final answer
    x = 878.57

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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.