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Finding the Fourth Proportional to 705.77, 975.35 and 572.73

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Solution

The fourth proportional to 705.77, 975.35 and 572.73 is: 791.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.77 : 975.35 = 572.73 : x
  2. Step 2: Convert to fraction form
    705.77/975.35 = 572.73/x
  3. Step 3: Cross multiply
    705.77x = 975.35 × 572.73
  4. Step 4: Simplify right side
    705.77x = 558,609.34
  5. Step 5: Solve for x
    x = 558,609.34/705.77
  6. Step 6: Final answer
    x = 791.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.