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Finding the Fourth Proportional to 645.24, 959.64 and 625.80

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Solution

The fourth proportional to 645.24, 959.64 and 625.80 is: 930.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.24 : 959.64 = 625.80 : x
  2. Step 2: Convert to fraction form
    645.24/959.64 = 625.80/x
  3. Step 3: Cross multiply
    645.24x = 959.64 × 625.80
  4. Step 4: Simplify right side
    645.24x = 600,542.71
  5. Step 5: Solve for x
    x = 600,542.71/645.24
  6. Step 6: Final answer
    x = 930.73

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.