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Finding the Fourth Proportional to 1,221.48, 1,685.49 and 690.32

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Solution

The fourth proportional to 1,221.48, 1,685.49 and 690.32 is: 952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.48 : 1,685.49 = 690.32 : x
  2. Step 2: Convert to fraction form
    1,221.48/1,685.49 = 690.32/x
  3. Step 3: Cross multiply
    1,221.48x = 1,685.49 × 690.32
  4. Step 4: Simplify right side
    1,221.48x = 1,163,519.03
  5. Step 5: Solve for x
    x = 1,163,519.03/1,221.48
  6. Step 6: Final answer
    x = 952.55

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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.