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Finding the Fourth Proportional to 1,207.85, 1,667.63 and 814.73

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Solution

The fourth proportional to 1,207.85, 1,667.63 and 814.73 is: 1,124.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.85 : 1,667.63 = 814.73 : x
  2. Step 2: Convert to fraction form
    1,207.85/1,667.63 = 814.73/x
  3. Step 3: Cross multiply
    1,207.85x = 1,667.63 × 814.73
  4. Step 4: Simplify right side
    1,207.85x = 1,358,661.89
  5. Step 5: Solve for x
    x = 1,358,661.89/1,207.85
  6. Step 6: Final answer
    x = 1,124.86

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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.