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Finding the Fourth Proportional to 1,508.73, 2,262.75 and 413.10

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Solution

The fourth proportional to 1,508.73, 2,262.75 and 413.10 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.73 : 2,262.75 = 413.10 : x
  2. Step 2: Convert to fraction form
    1,508.73/2,262.75 = 413.10/x
  3. Step 3: Cross multiply
    1,508.73x = 2,262.75 × 413.10
  4. Step 4: Simplify right side
    1,508.73x = 934,742.03
  5. Step 5: Solve for x
    x = 934,742.03/1,508.73
  6. Step 6: Final answer
    x = 619.56

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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.