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Finding the Fourth Proportional to 687.17, 1,031.22 and 455.99

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Solution

The fourth proportional to 687.17, 1,031.22 and 455.99 is: 684.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.17 : 1,031.22 = 455.99 : x
  2. Step 2: Convert to fraction form
    687.17/1,031.22 = 455.99/x
  3. Step 3: Cross multiply
    687.17x = 1,031.22 × 455.99
  4. Step 4: Simplify right side
    687.17x = 470,220.85
  5. Step 5: Solve for x
    x = 470,220.85/687.17
  6. Step 6: Final answer
    x = 684.29

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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.