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Finding the Fourth Proportional to 706.84, 1,059.64 and 274.30

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Solution

The fourth proportional to 706.84, 1,059.64 and 274.30 is: 411.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.84 : 1,059.64 = 274.30 : x
  2. Step 2: Convert to fraction form
    706.84/1,059.64 = 274.30/x
  3. Step 3: Cross multiply
    706.84x = 1,059.64 × 274.30
  4. Step 4: Simplify right side
    706.84x = 290,659.25
  5. Step 5: Solve for x
    x = 290,659.25/706.84
  6. Step 6: Final answer
    x = 411.21

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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.