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Finding the Fourth Proportional to 1,508.74, 2,262.74 and 413.11

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Solution

The fourth proportional to 1,508.74, 2,262.74 and 413.11 is: 619.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.74 : 2,262.74 = 413.11 : x
  2. Step 2: Convert to fraction form
    1,508.74/2,262.74 = 413.11/x
  3. Step 3: Cross multiply
    1,508.74x = 2,262.74 × 413.11
  4. Step 4: Simplify right side
    1,508.74x = 934,760.52
  5. Step 5: Solve for x
    x = 934,760.52/1,508.74
  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.