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Finding the Fourth Proportional to 705.90, 1,057.94 and 569.01

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Solution

The fourth proportional to 705.90, 1,057.94 and 569.01 is: 852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.90 : 1,057.94 = 569.01 : x
  2. Step 2: Convert to fraction form
    705.90/1,057.94 = 569.01/x
  3. Step 3: Cross multiply
    705.90x = 1,057.94 × 569.01
  4. Step 4: Simplify right side
    705.90x = 601,978.44
  5. Step 5: Solve for x
    x = 601,978.44/705.90
  6. Step 6: Final answer
    x = 852.78

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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.