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Finding the Fourth Proportional to 1,523.34, 2,285.15 and 427.73

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Solution

The fourth proportional to 1,523.34, 2,285.15 and 427.73 is: 641.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.34 : 2,285.15 = 427.73 : x
  2. Step 2: Convert to fraction form
    1,523.34/2,285.15 = 427.73/x
  3. Step 3: Cross multiply
    1,523.34x = 2,285.15 × 427.73
  4. Step 4: Simplify right side
    1,523.34x = 977,413.65
  5. Step 5: Solve for x
    x = 977,413.65/1,523.34
  6. Step 6: Final answer
    x = 641.63

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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.