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Finding the Fourth Proportional to 617.74, 925 and 536.61

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Solution

The fourth proportional to 617.74, 925 and 536.61 is: 803.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.74 : 925 = 536.61 : x
  2. Step 2: Convert to fraction form
    617.74/925 = 536.61/x
  3. Step 3: Cross multiply
    617.74x = 925 × 536.61
  4. Step 4: Simplify right side
    617.74x = 496,364.25
  5. Step 5: Solve for x
    x = 496,364.25/617.74
  6. Step 6: Final answer
    x = 803.52

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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.