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Finding the Fourth Proportional to 1,433.16, 1,976.94 and 908.82

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Solution

The fourth proportional to 1,433.16, 1,976.94 and 908.82 is: 1,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.16 : 1,976.94 = 908.82 : x
  2. Step 2: Convert to fraction form
    1,433.16/1,976.94 = 908.82/x
  3. Step 3: Cross multiply
    1,433.16x = 1,976.94 × 908.82
  4. Step 4: Simplify right side
    1,433.16x = 1,796,682.61
  5. Step 5: Solve for x
    x = 1,796,682.61/1,433.16
  6. Step 6: Final answer
    x = 1,253.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.