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Finding the Fourth Proportional to 858.32, 1,183.80 and 596.48

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Solution

The fourth proportional to 858.32, 1,183.80 and 596.48 is: 822.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.32 : 1,183.80 = 596.48 : x
  2. Step 2: Convert to fraction form
    858.32/1,183.80 = 596.48/x
  3. Step 3: Cross multiply
    858.32x = 1,183.80 × 596.48
  4. Step 4: Simplify right side
    858.32x = 706,113.02
  5. Step 5: Solve for x
    x = 706,113.02/858.32
  6. Step 6: Final answer
    x = 822.67

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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.