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Finding the Fourth Proportional to 691.07, 1,036.62 and 204.14

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Solution

The fourth proportional to 691.07, 1,036.62 and 204.14 is: 306.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.07 : 1,036.62 = 204.14 : x
  2. Step 2: Convert to fraction form
    691.07/1,036.62 = 204.14/x
  3. Step 3: Cross multiply
    691.07x = 1,036.62 × 204.14
  4. Step 4: Simplify right side
    691.07x = 211,609.40
  5. Step 5: Solve for x
    x = 211,609.40/691.07
  6. Step 6: Final answer
    x = 306.21

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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.