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Finding the Fourth Proportional to 1,596.96, 2,396.49 and 570.96

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Solution

The fourth proportional to 1,596.96, 2,396.49 and 570.96 is: 856.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.96 : 2,396.49 = 570.96 : x
  2. Step 2: Convert to fraction form
    1,596.96/2,396.49 = 570.96/x
  3. Step 3: Cross multiply
    1,596.96x = 2,396.49 × 570.96
  4. Step 4: Simplify right side
    1,596.96x = 1,368,299.93
  5. Step 5: Solve for x
    x = 1,368,299.93/1,596.96
  6. Step 6: Final answer
    x = 856.82

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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.