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Finding the Fourth Proportional to 942.66, 1,414.32 and 596.25

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Solution

The fourth proportional to 942.66, 1,414.32 and 596.25 is: 894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.66 : 1,414.32 = 596.25 : x
  2. Step 2: Convert to fraction form
    942.66/1,414.32 = 596.25/x
  3. Step 3: Cross multiply
    942.66x = 1,414.32 × 596.25
  4. Step 4: Simplify right side
    942.66x = 843,288.30
  5. Step 5: Solve for x
    x = 843,288.30/942.66
  6. Step 6: Final answer
    x = 894.58

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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.