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Finding the Fourth Proportional to 896.67, 1,344.20 and 462.51

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Solution

The fourth proportional to 896.67, 1,344.20 and 462.51 is: 693.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.67 : 1,344.20 = 462.51 : x
  2. Step 2: Convert to fraction form
    896.67/1,344.20 = 462.51/x
  3. Step 3: Cross multiply
    896.67x = 1,344.20 × 462.51
  4. Step 4: Simplify right side
    896.67x = 621,703.63
  5. Step 5: Solve for x
    x = 621,703.63/896.67
  6. Step 6: Final answer
    x = 693.35

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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.