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Finding the Fourth Proportional to 1,383.12, 1,908.38 and 1,010.30

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Solution

The fourth proportional to 1,383.12, 1,908.38 and 1,010.30 is: 1,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.12 : 1,908.38 = 1,010.30 : x
  2. Step 2: Convert to fraction form
    1,383.12/1,908.38 = 1,010.30/x
  3. Step 3: Cross multiply
    1,383.12x = 1,908.38 × 1,010.30
  4. Step 4: Simplify right side
    1,383.12x = 1,928,036.31
  5. Step 5: Solve for x
    x = 1,928,036.31/1,383.12
  6. Step 6: Final answer
    x = 1,393.98

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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.