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Finding the Fourth Proportional to 691.17, 1,031.43 and 569.67

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Solution

The fourth proportional to 691.17, 1,031.43 and 569.67 is: 850.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.17 : 1,031.43 = 569.67 : x
  2. Step 2: Convert to fraction form
    691.17/1,031.43 = 569.67/x
  3. Step 3: Cross multiply
    691.17x = 1,031.43 × 569.67
  4. Step 4: Simplify right side
    691.17x = 587,571.88
  5. Step 5: Solve for x
    x = 587,571.88/691.17
  6. Step 6: Final answer
    x = 850.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.