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Finding the Fourth Proportional to 986.70, 1,360.81 and 593.65

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Solution

The fourth proportional to 986.70, 1,360.81 and 593.65 is: 818.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.70 : 1,360.81 = 593.65 : x
  2. Step 2: Convert to fraction form
    986.70/1,360.81 = 593.65/x
  3. Step 3: Cross multiply
    986.70x = 1,360.81 × 593.65
  4. Step 4: Simplify right side
    986.70x = 807,844.86
  5. Step 5: Solve for x
    x = 807,844.86/986.70
  6. Step 6: Final answer
    x = 818.73

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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.