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Finding the Fourth Proportional to 1,270.44, 1,904.93 and 392.71

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Solution

The fourth proportional to 1,270.44, 1,904.93 and 392.71 is: 588.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.44 : 1,904.93 = 392.71 : x
  2. Step 2: Convert to fraction form
    1,270.44/1,904.93 = 392.71/x
  3. Step 3: Cross multiply
    1,270.44x = 1,904.93 × 392.71
  4. Step 4: Simplify right side
    1,270.44x = 748,086.61
  5. Step 5: Solve for x
    x = 748,086.61/1,270.44
  6. Step 6: Final answer
    x = 588.84

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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.