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Finding the Fourth Proportional to 1,383.40, 2,071.86 and 806.68

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Solution

The fourth proportional to 1,383.40, 2,071.86 and 806.68 is: 1,208.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.40 : 2,071.86 = 806.68 : x
  2. Step 2: Convert to fraction form
    1,383.40/2,071.86 = 806.68/x
  3. Step 3: Cross multiply
    1,383.40x = 2,071.86 × 806.68
  4. Step 4: Simplify right side
    1,383.40x = 1,671,328.02
  5. Step 5: Solve for x
    x = 1,671,328.02/1,383.40
  6. Step 6: Final answer
    x = 1,208.13

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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.