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Finding the Fourth Proportional to 691.09, 1,036.51 and 204.07

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Solution

The fourth proportional to 691.09, 1,036.51 and 204.07 is: 306.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.09 : 1,036.51 = 204.07 : x
  2. Step 2: Convert to fraction form
    691.09/1,036.51 = 204.07/x
  3. Step 3: Cross multiply
    691.09x = 1,036.51 × 204.07
  4. Step 4: Simplify right side
    691.09x = 211,520.60
  5. Step 5: Solve for x
    x = 211,520.60/691.09
  6. Step 6: Final answer
    x = 306.07

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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.