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Finding the Fourth Proportional to 1,208.68, 1,667.46 and 945.64

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Solution

The fourth proportional to 1,208.68, 1,667.46 and 945.64 is: 1,304.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.68 : 1,667.46 = 945.64 : x
  2. Step 2: Convert to fraction form
    1,208.68/1,667.46 = 945.64/x
  3. Step 3: Cross multiply
    1,208.68x = 1,667.46 × 945.64
  4. Step 4: Simplify right side
    1,208.68x = 1,576,816.87
  5. Step 5: Solve for x
    x = 1,576,816.87/1,208.68
  6. Step 6: Final answer
    x = 1,304.58

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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.