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Finding the Fourth Proportional to 625.88, 940.86 and 505.52

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Solution

The fourth proportional to 625.88, 940.86 and 505.52 is: 759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.88 : 940.86 = 505.52 : x
  2. Step 2: Convert to fraction form
    625.88/940.86 = 505.52/x
  3. Step 3: Cross multiply
    625.88x = 940.86 × 505.52
  4. Step 4: Simplify right side
    625.88x = 475,623.55
  5. Step 5: Solve for x
    x = 475,623.55/625.88
  6. Step 6: Final answer
    x = 759.93

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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.