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Finding the Fourth Proportional to 1,394.94, 1,924.65 and 1,099.29

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Solution

The fourth proportional to 1,394.94, 1,924.65 and 1,099.29 is: 1,516.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394.94 : 1,924.65 = 1,099.29 : x
  2. Step 2: Convert to fraction form
    1,394.94/1,924.65 = 1,099.29/x
  3. Step 3: Cross multiply
    1,394.94x = 1,924.65 × 1,099.29
  4. Step 4: Simplify right side
    1,394.94x = 2,115,748.50
  5. Step 5: Solve for x
    x = 2,115,748.50/1,394.94
  6. Step 6: Final answer
    x = 1,516.73

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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.