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Finding the Fourth Proportional to 903.77, 1,356.06 and 832.49

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Solution

The fourth proportional to 903.77, 1,356.06 and 832.49 is: 1,249.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.77 : 1,356.06 = 832.49 : x
  2. Step 2: Convert to fraction form
    903.77/1,356.06 = 832.49/x
  3. Step 3: Cross multiply
    903.77x = 1,356.06 × 832.49
  4. Step 4: Simplify right side
    903.77x = 1,128,906.39
  5. Step 5: Solve for x
    x = 1,128,906.39/903.77
  6. Step 6: Final answer
    x = 1,249.11

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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.