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Finding the Fourth Proportional to 935.64, 1,406.03 and 874.69

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Solution

The fourth proportional to 935.64, 1,406.03 and 874.69 is: 1,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.64 : 1,406.03 = 874.69 : x
  2. Step 2: Convert to fraction form
    935.64/1,406.03 = 874.69/x
  3. Step 3: Cross multiply
    935.64x = 1,406.03 × 874.69
  4. Step 4: Simplify right side
    935.64x = 1,229,832.49
  5. Step 5: Solve for x
    x = 1,229,832.49/935.64
  6. Step 6: Final answer
    x = 1,314.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.