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Finding the Fourth Proportional to 703.98, 970.95 and 496.62

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Solution

The fourth proportional to 703.98, 970.95 and 496.62 is: 684.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.98 : 970.95 = 496.62 : x
  2. Step 2: Convert to fraction form
    703.98/970.95 = 496.62/x
  3. Step 3: Cross multiply
    703.98x = 970.95 × 496.62
  4. Step 4: Simplify right side
    703.98x = 482,193.19
  5. Step 5: Solve for x
    x = 482,193.19/703.98
  6. Step 6: Final answer
    x = 684.95

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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.