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Finding the Fourth Proportional to 1,270.14, 1,905.44 and 392.62

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Solution

The fourth proportional to 1,270.14, 1,905.44 and 392.62 is: 589.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.14 : 1,905.44 = 392.62 : x
  2. Step 2: Convert to fraction form
    1,270.14/1,905.44 = 392.62/x
  3. Step 3: Cross multiply
    1,270.14x = 1,905.44 × 392.62
  4. Step 4: Simplify right side
    1,270.14x = 748,113.85
  5. Step 5: Solve for x
    x = 748,113.85/1,270.14
  6. Step 6: Final answer
    x = 589.00

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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.