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Finding the Fourth Proportional to 1,209.79, 1,669.53 and 685.81

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Solution

The fourth proportional to 1,209.79, 1,669.53 and 685.81 is: 946.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.79 : 1,669.53 = 685.81 : x
  2. Step 2: Convert to fraction form
    1,209.79/1,669.53 = 685.81/x
  3. Step 3: Cross multiply
    1,209.79x = 1,669.53 × 685.81
  4. Step 4: Simplify right side
    1,209.79x = 1,144,980.37
  5. Step 5: Solve for x
    x = 1,144,980.37/1,209.79
  6. Step 6: Final answer
    x = 946.43

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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.