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Finding the Fourth Proportional to 1,434, 1,979.16 and 813.36

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Solution

The fourth proportional to 1,434, 1,979.16 and 813.36 is: 1,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434 : 1,979.16 = 813.36 : x
  2. Step 2: Convert to fraction form
    1,434/1,979.16 = 813.36/x
  3. Step 3: Cross multiply
    1,434x = 1,979.16 × 813.36
  4. Step 4: Simplify right side
    1,434x = 1,609,769.58
  5. Step 5: Solve for x
    x = 1,609,769.58/1,434
  6. Step 6: Final answer
    x = 1,122.57

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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.