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Finding the Fourth Proportional to 1,207.45, 1,665.63 and 813.79

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Solution

The fourth proportional to 1,207.45, 1,665.63 and 813.79 is: 1,122.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.45 : 1,665.63 = 813.79 : x
  2. Step 2: Convert to fraction form
    1,207.45/1,665.63 = 813.79/x
  3. Step 3: Cross multiply
    1,207.45x = 1,665.63 × 813.79
  4. Step 4: Simplify right side
    1,207.45x = 1,355,473.04
  5. Step 5: Solve for x
    x = 1,355,473.04/1,207.45
  6. Step 6: Final answer
    x = 1,122.59

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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.