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Finding the Fourth Proportional to 691.08, 1,033.74 and 567.96

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Solution

The fourth proportional to 691.08, 1,033.74 and 567.96 is: 849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.08 : 1,033.74 = 567.96 : x
  2. Step 2: Convert to fraction form
    691.08/1,033.74 = 567.96/x
  3. Step 3: Cross multiply
    691.08x = 1,033.74 × 567.96
  4. Step 4: Simplify right side
    691.08x = 587,122.97
  5. Step 5: Solve for x
    x = 587,122.97/691.08
  6. Step 6: Final answer
    x = 849.57

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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.