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Finding the Fourth Proportional to 1,077.46, 1,614.76 and 427.84

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Solution

The fourth proportional to 1,077.46, 1,614.76 and 427.84 is: 641.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.46 : 1,614.76 = 427.84 : x
  2. Step 2: Convert to fraction form
    1,077.46/1,614.76 = 427.84/x
  3. Step 3: Cross multiply
    1,077.46x = 1,614.76 × 427.84
  4. Step 4: Simplify right side
    1,077.46x = 690,858.92
  5. Step 5: Solve for x
    x = 690,858.92/1,077.46
  6. Step 6: Final answer
    x = 641.19

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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.