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Finding the Fourth Proportional to 1,270.42, 1,904.65 and 611.96

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Solution

The fourth proportional to 1,270.42, 1,904.65 and 611.96 is: 917.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.42 : 1,904.65 = 611.96 : x
  2. Step 2: Convert to fraction form
    1,270.42/1,904.65 = 611.96/x
  3. Step 3: Cross multiply
    1,270.42x = 1,904.65 × 611.96
  4. Step 4: Simplify right side
    1,270.42x = 1,165,558.56
  5. Step 5: Solve for x
    x = 1,165,558.56/1,270.42
  6. Step 6: Final answer
    x = 917.46

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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.