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Finding the Fourth Proportional to 687.17, 1,031.18 and 504.11

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Solution

The fourth proportional to 687.17, 1,031.18 and 504.11 is: 756.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.17 : 1,031.18 = 504.11 : x
  2. Step 2: Convert to fraction form
    687.17/1,031.18 = 504.11/x
  3. Step 3: Cross multiply
    687.17x = 1,031.18 × 504.11
  4. Step 4: Simplify right side
    687.17x = 519,820.47
  5. Step 5: Solve for x
    x = 519,820.47/687.17
  6. Step 6: Final answer
    x = 756.47

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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.