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Finding the Fourth Proportional to 615.73, 926.56 and 506.83

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Solution

The fourth proportional to 615.73, 926.56 and 506.83 is: 762.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    615.73 : 926.56 = 506.83 : x
  2. Step 2: Convert to fraction form
    615.73/926.56 = 506.83/x
  3. Step 3: Cross multiply
    615.73x = 926.56 × 506.83
  4. Step 4: Simplify right side
    615.73x = 469,608.40
  5. Step 5: Solve for x
    x = 469,608.40/615.73
  6. Step 6: Final answer
    x = 762.69

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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.