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Finding the Fourth Proportional to 1,270.04, 1,902.53 and 994.85

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Solution

The fourth proportional to 1,270.04, 1,902.53 and 994.85 is: 1,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,270.04 : 1,902.53 = 994.85 : x
  2. Step 2: Convert to fraction form
    1,270.04/1,902.53 = 994.85/x
  3. Step 3: Cross multiply
    1,270.04x = 1,902.53 × 994.85
  4. Step 4: Simplify right side
    1,270.04x = 1,892,717.48
  5. Step 5: Solve for x
    x = 1,892,717.48/1,270.04
  6. Step 6: Final answer
    x = 1,490.29

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Why These Related Problems?

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