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Finding the Fourth Proportional to 1,063.92, 1,596.42 and 486.72

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Solution

The fourth proportional to 1,063.92, 1,596.42 and 486.72 is: 730.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.92 : 1,596.42 = 486.72 : x
  2. Step 2: Convert to fraction form
    1,063.92/1,596.42 = 486.72/x
  3. Step 3: Cross multiply
    1,063.92x = 1,596.42 × 486.72
  4. Step 4: Simplify right side
    1,063.92x = 777,009.54
  5. Step 5: Solve for x
    x = 777,009.54/1,063.92
  6. Step 6: Final answer
    x = 730.33

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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.