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Finding the Fourth Proportional to 986.74, 1,361.10 and 593.50

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Solution

The fourth proportional to 986.74, 1,361.10 and 593.50 is: 818.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.74 : 1,361.10 = 593.50 : x
  2. Step 2: Convert to fraction form
    986.74/1,361.10 = 593.50/x
  3. Step 3: Cross multiply
    986.74x = 1,361.10 × 593.50
  4. Step 4: Simplify right side
    986.74x = 807,812.85
  5. Step 5: Solve for x
    x = 807,812.85/986.74
  6. Step 6: Final answer
    x = 818.67

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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.