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Finding the Fourth Proportional to 1,082.86, 1,624.63 and 596.25

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Solution

The fourth proportional to 1,082.86, 1,624.63 and 596.25 is: 894.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.86 : 1,624.63 = 596.25 : x
  2. Step 2: Convert to fraction form
    1,082.86/1,624.63 = 596.25/x
  3. Step 3: Cross multiply
    1,082.86x = 1,624.63 × 596.25
  4. Step 4: Simplify right side
    1,082.86x = 968,684.15
  5. Step 5: Solve for x
    x = 968,684.15/1,082.86
  6. Step 6: Final answer
    x = 894.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.