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Finding the Fourth Proportional to 1,384.11, 1,909.99 and 794.23

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Solution

The fourth proportional to 1,384.11, 1,909.99 and 794.23 is: 1,095.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,384.11 : 1,909.99 = 794.23 : x
  2. Step 2: Convert to fraction form
    1,384.11/1,909.99 = 794.23/x
  3. Step 3: Cross multiply
    1,384.11x = 1,909.99 × 794.23
  4. Step 4: Simplify right side
    1,384.11x = 1,516,967.39
  5. Step 5: Solve for x
    x = 1,516,967.39/1,384.11
  6. Step 6: Final answer
    x = 1,095.99

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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.