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Finding the Fourth Proportional to 706.05, 1,057.23 and 542.07

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Solution

The fourth proportional to 706.05, 1,057.23 and 542.07 is: 811.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.05 : 1,057.23 = 542.07 : x
  2. Step 2: Convert to fraction form
    706.05/1,057.23 = 542.07/x
  3. Step 3: Cross multiply
    706.05x = 1,057.23 × 542.07
  4. Step 4: Simplify right side
    706.05x = 573,092.67
  5. Step 5: Solve for x
    x = 573,092.67/706.05
  6. Step 6: Final answer
    x = 811.69

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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.