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Finding the Fourth Proportional to 707.25, 974.95 and 496.78

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Solution

The fourth proportional to 707.25, 974.95 and 496.78 is: 684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.25 : 974.95 = 496.78 : x
  2. Step 2: Convert to fraction form
    707.25/974.95 = 496.78/x
  3. Step 3: Cross multiply
    707.25x = 974.95 × 496.78
  4. Step 4: Simplify right side
    707.25x = 484,335.66
  5. Step 5: Solve for x
    x = 484,335.66/707.25
  6. Step 6: Final answer
    x = 684.82

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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.