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Finding the Fourth Proportional to 1,209.64, 1,669.17 and 685.66

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Solution

The fourth proportional to 1,209.64, 1,669.17 and 685.66 is: 946.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209.64 : 1,669.17 = 685.66 : x
  2. Step 2: Convert to fraction form
    1,209.64/1,669.17 = 685.66/x
  3. Step 3: Cross multiply
    1,209.64x = 1,669.17 × 685.66
  4. Step 4: Simplify right side
    1,209.64x = 1,144,483.10
  5. Step 5: Solve for x
    x = 1,144,483.10/1,209.64
  6. Step 6: Final answer
    x = 946.14

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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.