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Finding the Fourth Proportional to 687.29, 1,031.19 and 610.83

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Solution

The fourth proportional to 687.29, 1,031.19 and 610.83 is: 916.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.29 : 1,031.19 = 610.83 : x
  2. Step 2: Convert to fraction form
    687.29/1,031.19 = 610.83/x
  3. Step 3: Cross multiply
    687.29x = 1,031.19 × 610.83
  4. Step 4: Simplify right side
    687.29x = 629,881.79
  5. Step 5: Solve for x
    x = 629,881.79/687.29
  6. Step 6: Final answer
    x = 916.48

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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.