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Finding the Fourth Proportional to 1,209.89, 1,669.64 and 685.92

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Solution

The fourth proportional to 1,209.89, 1,669.64 and 685.92 is: 946.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.89 : 1,669.64 = 685.92 : x
  2. Step 2: Convert to fraction form
    1,209.89/1,669.64 = 685.92/x
  3. Step 3: Cross multiply
    1,209.89x = 1,669.64 × 685.92
  4. Step 4: Simplify right side
    1,209.89x = 1,145,239.47
  5. Step 5: Solve for x
    x = 1,145,239.47/1,209.89
  6. Step 6: Final answer
    x = 946.56

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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.