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Finding the Fourth Proportional to 1,596.34, 2,394.33 and 442

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Solution

The fourth proportional to 1,596.34, 2,394.33 and 442 is: 662.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.34 : 2,394.33 = 442 : x
  2. Step 2: Convert to fraction form
    1,596.34/2,394.33 = 442/x
  3. Step 3: Cross multiply
    1,596.34x = 2,394.33 × 442
  4. Step 4: Simplify right side
    1,596.34x = 1,058,293.86
  5. Step 5: Solve for x
    x = 1,058,293.86/1,596.34
  6. Step 6: Final answer
    x = 662.95

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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.