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Finding the Fourth Proportional to 1,047.39, 1,446.47 and 906.83

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Solution

The fourth proportional to 1,047.39, 1,446.47 and 906.83 is: 1,252.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.39 : 1,446.47 = 906.83 : x
  2. Step 2: Convert to fraction form
    1,047.39/1,446.47 = 906.83/x
  3. Step 3: Cross multiply
    1,047.39x = 1,446.47 × 906.83
  4. Step 4: Simplify right side
    1,047.39x = 1,311,708.27
  5. Step 5: Solve for x
    x = 1,311,708.27/1,047.39
  6. Step 6: Final answer
    x = 1,252.36

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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.