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Finding the Fourth Proportional to 691.51, 1,036.90 and 204.49

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Solution

The fourth proportional to 691.51, 1,036.90 and 204.49 is: 306.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.51 : 1,036.90 = 204.49 : x
  2. Step 2: Convert to fraction form
    691.51/1,036.90 = 204.49/x
  3. Step 3: Cross multiply
    691.51x = 1,036.90 × 204.49
  4. Step 4: Simplify right side
    691.51x = 212,035.68
  5. Step 5: Solve for x
    x = 212,035.68/691.51
  6. Step 6: Final answer
    x = 306.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.