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Finding the Fourth Proportional to 1,596.76, 2,395.16 and 442.56

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Solution

The fourth proportional to 1,596.76, 2,395.16 and 442.56 is: 663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.76 : 2,395.16 = 442.56 : x
  2. Step 2: Convert to fraction form
    1,596.76/2,395.16 = 442.56/x
  3. Step 3: Cross multiply
    1,596.76x = 2,395.16 × 442.56
  4. Step 4: Simplify right side
    1,596.76x = 1,060,002.01
  5. Step 5: Solve for x
    x = 1,060,002.01/1,596.76
  6. Step 6: Final answer
    x = 663.85

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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.