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Finding the Fourth Proportional to 1,508.86, 2,263.28 and 413.31

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Solution

The fourth proportional to 1,508.86, 2,263.28 and 413.31 is: 619.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,508.86 : 2,263.28 = 413.31 : x
  2. Step 2: Convert to fraction form
    1,508.86/2,263.28 = 413.31/x
  3. Step 3: Cross multiply
    1,508.86x = 2,263.28 × 413.31
  4. Step 4: Simplify right side
    1,508.86x = 935,428.80
  5. Step 5: Solve for x
    x = 935,428.80/1,508.86
  6. Step 6: Final answer
    x = 619.96

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Why These Related Problems?

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