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Finding the Fourth Proportional to 622.10, 930.59 and 511.17

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Solution

The fourth proportional to 622.10, 930.59 and 511.17 is: 764.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.10 : 930.59 = 511.17 : x
  2. Step 2: Convert to fraction form
    622.10/930.59 = 511.17/x
  3. Step 3: Cross multiply
    622.10x = 930.59 × 511.17
  4. Step 4: Simplify right side
    622.10x = 475,687.13
  5. Step 5: Solve for x
    x = 475,687.13/622.10
  6. Step 6: Final answer
    x = 764.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.