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Finding the Fourth Proportional to 935.85, 1,404.18 and 739.56

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Solution

The fourth proportional to 935.85, 1,404.18 and 739.56 is: 1,109.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.85 : 1,404.18 = 739.56 : x
  2. Step 2: Convert to fraction form
    935.85/1,404.18 = 739.56/x
  3. Step 3: Cross multiply
    935.85x = 1,404.18 × 739.56
  4. Step 4: Simplify right side
    935.85x = 1,038,475.36
  5. Step 5: Solve for x
    x = 1,038,475.36/935.85
  6. Step 6: Final answer
    x = 1,109.66

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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.