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Finding the Fourth Proportional to 687.52, 1,031.64 and 414.52

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Solution

The fourth proportional to 687.52, 1,031.64 and 414.52 is: 622.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.52 : 1,031.64 = 414.52 : x
  2. Step 2: Convert to fraction form
    687.52/1,031.64 = 414.52/x
  3. Step 3: Cross multiply
    687.52x = 1,031.64 × 414.52
  4. Step 4: Simplify right side
    687.52x = 427,635.41
  5. Step 5: Solve for x
    x = 427,635.41/687.52
  6. Step 6: Final answer
    x = 622.00

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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.