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Finding the Fourth Proportional to 1,003.76, 1,383.79 and 865.35

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Solution

The fourth proportional to 1,003.76, 1,383.79 and 865.35 is: 1,192.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.76 : 1,383.79 = 865.35 : x
  2. Step 2: Convert to fraction form
    1,003.76/1,383.79 = 865.35/x
  3. Step 3: Cross multiply
    1,003.76x = 1,383.79 × 865.35
  4. Step 4: Simplify right side
    1,003.76x = 1,197,462.68
  5. Step 5: Solve for x
    x = 1,197,462.68/1,003.76
  6. Step 6: Final answer
    x = 1,192.98

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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.