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Finding the Fourth Proportional to 688.26, 1,031.87 and 414.28

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Solution

The fourth proportional to 688.26, 1,031.87 and 414.28 is: 621.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.26 : 1,031.87 = 414.28 : x
  2. Step 2: Convert to fraction form
    688.26/1,031.87 = 414.28/x
  3. Step 3: Cross multiply
    688.26x = 1,031.87 × 414.28
  4. Step 4: Simplify right side
    688.26x = 427,483.10
  5. Step 5: Solve for x
    x = 427,483.10/688.26
  6. Step 6: Final answer
    x = 621.11

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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.