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Finding the Fourth Proportional to 703.81, 1,050.78 and 634.69

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Solution

The fourth proportional to 703.81, 1,050.78 and 634.69 is: 947.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.81 : 1,050.78 = 634.69 : x
  2. Step 2: Convert to fraction form
    703.81/1,050.78 = 634.69/x
  3. Step 3: Cross multiply
    703.81x = 1,050.78 × 634.69
  4. Step 4: Simplify right side
    703.81x = 666,919.56
  5. Step 5: Solve for x
    x = 666,919.56/703.81
  6. Step 6: Final answer
    x = 947.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.