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Finding the Fourth Proportional to 1,596.05, 2,394.44 and 730.61

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Solution

The fourth proportional to 1,596.05, 2,394.44 and 730.61 is: 1,096.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.05 : 2,394.44 = 730.61 : x
  2. Step 2: Convert to fraction form
    1,596.05/2,394.44 = 730.61/x
  3. Step 3: Cross multiply
    1,596.05x = 2,394.44 × 730.61
  4. Step 4: Simplify right side
    1,596.05x = 1,749,398.16
  5. Step 5: Solve for x
    x = 1,749,398.16/1,596.05
  6. Step 6: Final answer
    x = 1,096.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.