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Finding the Fourth Proportional to 1,208.43, 1,667.93 and 766.89

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Solution

The fourth proportional to 1,208.43, 1,667.93 and 766.89 is: 1,058.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.43 : 1,667.93 = 766.89 : x
  2. Step 2: Convert to fraction form
    1,208.43/1,667.93 = 766.89/x
  3. Step 3: Cross multiply
    1,208.43x = 1,667.93 × 766.89
  4. Step 4: Simplify right side
    1,208.43x = 1,279,115.00
  5. Step 5: Solve for x
    x = 1,279,115.00/1,208.43
  6. Step 6: Final answer
    x = 1,058.49

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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.