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Finding the Fourth Proportional to 706.33, 1,059.90 and 551.82

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Solution

The fourth proportional to 706.33, 1,059.90 and 551.82 is: 828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.33 : 1,059.90 = 551.82 : x
  2. Step 2: Convert to fraction form
    706.33/1,059.90 = 551.82/x
  3. Step 3: Cross multiply
    706.33x = 1,059.90 × 551.82
  4. Step 4: Simplify right side
    706.33x = 584,874.02
  5. Step 5: Solve for x
    x = 584,874.02/706.33
  6. Step 6: Final answer
    x = 828.05

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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.