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Finding the Fourth Proportional to 896.95, 1,237.75 and 523.95

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Solution

The fourth proportional to 896.95, 1,237.75 and 523.95 is: 723.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.95 : 1,237.75 = 523.95 : x
  2. Step 2: Convert to fraction form
    896.95/1,237.75 = 523.95/x
  3. Step 3: Cross multiply
    896.95x = 1,237.75 × 523.95
  4. Step 4: Simplify right side
    896.95x = 648,519.11
  5. Step 5: Solve for x
    x = 648,519.11/896.95
  6. Step 6: Final answer
    x = 723.03

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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.