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Finding the Fourth Proportional to 986.84, 1,362.02 and 593.96

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Solution

The fourth proportional to 986.84, 1,362.02 and 593.96 is: 819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.84 : 1,362.02 = 593.96 : x
  2. Step 2: Convert to fraction form
    986.84/1,362.02 = 593.96/x
  3. Step 3: Cross multiply
    986.84x = 1,362.02 × 593.96
  4. Step 4: Simplify right side
    986.84x = 808,985.40
  5. Step 5: Solve for x
    x = 808,985.40/986.84
  6. Step 6: Final answer
    x = 819.77

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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.