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Finding the Fourth Proportional to 986.92, 1,362 and 593.96

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Solution

The fourth proportional to 986.92, 1,362 and 593.96 is: 819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.92 : 1,362 = 593.96 : x
  2. Step 2: Convert to fraction form
    986.92/1,362 = 593.96/x
  3. Step 3: Cross multiply
    986.92x = 1,362 × 593.96
  4. Step 4: Simplify right side
    986.92x = 808,973.52
  5. Step 5: Solve for x
    x = 808,973.52/986.92
  6. Step 6: Final answer
    x = 819.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.