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Finding the Fourth Proportional to 705.66, 971.84 and 568.37

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Solution

The fourth proportional to 705.66, 971.84 and 568.37 is: 782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.66 : 971.84 = 568.37 : x
  2. Step 2: Convert to fraction form
    705.66/971.84 = 568.37/x
  3. Step 3: Cross multiply
    705.66x = 971.84 × 568.37
  4. Step 4: Simplify right side
    705.66x = 552,357.00
  5. Step 5: Solve for x
    x = 552,357.00/705.66
  6. Step 6: Final answer
    x = 782.75

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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.