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Finding the Fourth Proportional to 705.95, 973.82 and 496.04

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Solution

The fourth proportional to 705.95, 973.82 and 496.04 is: 684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.95 : 973.82 = 496.04 : x
  2. Step 2: Convert to fraction form
    705.95/973.82 = 496.04/x
  3. Step 3: Cross multiply
    705.95x = 973.82 × 496.04
  4. Step 4: Simplify right side
    705.95x = 483,046.32
  5. Step 5: Solve for x
    x = 483,046.32/705.95
  6. Step 6: Final answer
    x = 684.25

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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.