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Finding the Fourth Proportional to 688.79, 1,033.61 and 272.67

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Solution

The fourth proportional to 688.79, 1,033.61 and 272.67 is: 409.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.79 : 1,033.61 = 272.67 : x
  2. Step 2: Convert to fraction form
    688.79/1,033.61 = 272.67/x
  3. Step 3: Cross multiply
    688.79x = 1,033.61 × 272.67
  4. Step 4: Simplify right side
    688.79x = 281,834.44
  5. Step 5: Solve for x
    x = 281,834.44/688.79
  6. Step 6: Final answer
    x = 409.17

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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.