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Finding the Fourth Proportional to 1,077.11, 1,616.48 and 427.89

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Solution

The fourth proportional to 1,077.11, 1,616.48 and 427.89 is: 642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.11 : 1,616.48 = 427.89 : x
  2. Step 2: Convert to fraction form
    1,077.11/1,616.48 = 427.89/x
  3. Step 3: Cross multiply
    1,077.11x = 1,616.48 × 427.89
  4. Step 4: Simplify right side
    1,077.11x = 691,673.49
  5. Step 5: Solve for x
    x = 691,673.49/1,077.11
  6. Step 6: Final answer
    x = 642.16

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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.