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Finding the Fourth Proportional to 1,212.14, 1,673.43 and 918.14

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Solution

The fourth proportional to 1,212.14, 1,673.43 and 918.14 is: 1,267.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.14 : 1,673.43 = 918.14 : x
  2. Step 2: Convert to fraction form
    1,212.14/1,673.43 = 918.14/x
  3. Step 3: Cross multiply
    1,212.14x = 1,673.43 × 918.14
  4. Step 4: Simplify right side
    1,212.14x = 1,536,443.02
  5. Step 5: Solve for x
    x = 1,536,443.02/1,212.14
  6. Step 6: Final answer
    x = 1,267.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.