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Finding the Fourth Proportional to 706.14, 1,060.02 and 552.24

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Solution

The fourth proportional to 706.14, 1,060.02 and 552.24 is: 828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.14 : 1,060.02 = 552.24 : x
  2. Step 2: Convert to fraction form
    706.14/1,060.02 = 552.24/x
  3. Step 3: Cross multiply
    706.14x = 1,060.02 × 552.24
  4. Step 4: Simplify right side
    706.14x = 585,385.44
  5. Step 5: Solve for x
    x = 585,385.44/706.14
  6. Step 6: Final answer
    x = 828.99

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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.