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Finding the Fourth Proportional to 705.83, 973.55 and 496.44

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Solution

The fourth proportional to 705.83, 973.55 and 496.44 is: 684.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.83 : 973.55 = 496.44 : x
  2. Step 2: Convert to fraction form
    705.83/973.55 = 496.44/x
  3. Step 3: Cross multiply
    705.83x = 973.55 × 496.44
  4. Step 4: Simplify right side
    705.83x = 483,310.40
  5. Step 5: Solve for x
    x = 483,310.40/705.83
  6. Step 6: Final answer
    x = 684.75

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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.