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Finding the Fourth Proportional to 703.69, 969.72 and 624.41

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Solution

The fourth proportional to 703.69, 969.72 and 624.41 is: 860.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.69 : 969.72 = 624.41 : x
  2. Step 2: Convert to fraction form
    703.69/969.72 = 624.41/x
  3. Step 3: Cross multiply
    703.69x = 969.72 × 624.41
  4. Step 4: Simplify right side
    703.69x = 605,502.82
  5. Step 5: Solve for x
    x = 605,502.82/703.69
  6. Step 6: Final answer
    x = 860.47

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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.