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Finding the Fourth Proportional to 688.74, 1,033.32 and 415.17

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Solution

The fourth proportional to 688.74, 1,033.32 and 415.17 is: 622.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.74 : 1,033.32 = 415.17 : x
  2. Step 2: Convert to fraction form
    688.74/1,033.32 = 415.17/x
  3. Step 3: Cross multiply
    688.74x = 1,033.32 × 415.17
  4. Step 4: Simplify right side
    688.74x = 429,003.46
  5. Step 5: Solve for x
    x = 429,003.46/688.74
  6. Step 6: Final answer
    x = 622.88

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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.