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Finding the Fourth Proportional to 705.94, 1,062.59 and 638.86

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Solution

The fourth proportional to 705.94, 1,062.59 and 638.86 is: 961.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 1,062.59 = 638.86 : x
  2. Step 2: Convert to fraction form
    705.94/1,062.59 = 638.86/x
  3. Step 3: Cross multiply
    705.94x = 1,062.59 × 638.86
  4. Step 4: Simplify right side
    705.94x = 678,846.25
  5. Step 5: Solve for x
    x = 678,846.25/705.94
  6. Step 6: Final answer
    x = 961.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.