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Finding the Fourth Proportional to 705.72, 1,055.70 and 568.92

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Solution

The fourth proportional to 705.72, 1,055.70 and 568.92 is: 851.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.72 : 1,055.70 = 568.92 : x
  2. Step 2: Convert to fraction form
    705.72/1,055.70 = 568.92/x
  3. Step 3: Cross multiply
    705.72x = 1,055.70 × 568.92
  4. Step 4: Simplify right side
    705.72x = 600,608.84
  5. Step 5: Solve for x
    x = 600,608.84/705.72
  6. Step 6: Final answer
    x = 851.06

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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.