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Finding the Fourth Proportional to 1,208.06, 1,667.07 and 676.93

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Solution

The fourth proportional to 1,208.06, 1,667.07 and 676.93 is: 934.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.06 : 1,667.07 = 676.93 : x
  2. Step 2: Convert to fraction form
    1,208.06/1,667.07 = 676.93/x
  3. Step 3: Cross multiply
    1,208.06x = 1,667.07 × 676.93
  4. Step 4: Simplify right side
    1,208.06x = 1,128,489.70
  5. Step 5: Solve for x
    x = 1,128,489.70/1,208.06
  6. Step 6: Final answer
    x = 934.13

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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.