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Finding the Fourth Proportional to 1,077.70, 1,614.55 and 905.49

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Solution

The fourth proportional to 1,077.70, 1,614.55 and 905.49 is: 1,356.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.70 : 1,614.55 = 905.49 : x
  2. Step 2: Convert to fraction form
    1,077.70/1,614.55 = 905.49/x
  3. Step 3: Cross multiply
    1,077.70x = 1,614.55 × 905.49
  4. Step 4: Simplify right side
    1,077.70x = 1,461,958.88
  5. Step 5: Solve for x
    x = 1,461,958.88/1,077.70
  6. Step 6: Final answer
    x = 1,356.55

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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.