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Finding the Fourth Proportional to 1,596.46, 2,394.90 and 556.48

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Solution

The fourth proportional to 1,596.46, 2,394.90 and 556.48 is: 834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.46 : 2,394.90 = 556.48 : x
  2. Step 2: Convert to fraction form
    1,596.46/2,394.90 = 556.48/x
  3. Step 3: Cross multiply
    1,596.46x = 2,394.90 × 556.48
  4. Step 4: Simplify right side
    1,596.46x = 1,332,713.95
  5. Step 5: Solve for x
    x = 1,332,713.95/1,596.46
  6. Step 6: Final answer
    x = 834.79

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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.