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Finding the Fourth Proportional to 1,083.44, 1,490.32 and 906.32

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Solution

The fourth proportional to 1,083.44, 1,490.32 and 906.32 is: 1,246.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.44 : 1,490.32 = 906.32 : x
  2. Step 2: Convert to fraction form
    1,083.44/1,490.32 = 906.32/x
  3. Step 3: Cross multiply
    1,083.44x = 1,490.32 × 906.32
  4. Step 4: Simplify right side
    1,083.44x = 1,350,706.82
  5. Step 5: Solve for x
    x = 1,350,706.82/1,083.44
  6. Step 6: Final answer
    x = 1,246.68

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Why These Related Problems?

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