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Finding the Fourth Proportional to 705.06, 1,057.89 and 543.06

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Solution

The fourth proportional to 705.06, 1,057.89 and 543.06 is: 814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.06 : 1,057.89 = 543.06 : x
  2. Step 2: Convert to fraction form
    705.06/1,057.89 = 543.06/x
  3. Step 3: Cross multiply
    705.06x = 1,057.89 × 543.06
  4. Step 4: Simplify right side
    705.06x = 574,497.74
  5. Step 5: Solve for x
    x = 574,497.74/705.06
  6. Step 6: Final answer
    x = 814.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.