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Finding the Fourth Proportional to 1,434.72, 1,979.94 and 813.72

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Solution

The fourth proportional to 1,434.72, 1,979.94 and 813.72 is: 1,122.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.72 : 1,979.94 = 813.72 : x
  2. Step 2: Convert to fraction form
    1,434.72/1,979.94 = 813.72/x
  3. Step 3: Cross multiply
    1,434.72x = 1,979.94 × 813.72
  4. Step 4: Simplify right side
    1,434.72x = 1,611,116.78
  5. Step 5: Solve for x
    x = 1,611,116.78/1,434.72
  6. Step 6: Final answer
    x = 1,122.95

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