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Finding the Fourth Proportional to 896.40, 1,236.06 and 597.24

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Solution

The fourth proportional to 896.40, 1,236.06 and 597.24 is: 823.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.40 : 1,236.06 = 597.24 : x
  2. Step 2: Convert to fraction form
    896.40/1,236.06 = 597.24/x
  3. Step 3: Cross multiply
    896.40x = 1,236.06 × 597.24
  4. Step 4: Simplify right side
    896.40x = 738,224.47
  5. Step 5: Solve for x
    x = 738,224.47/896.40
  6. Step 6: Final answer
    x = 823.54

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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.