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Finding the Fourth Proportional to 896.93, 1,342.89 and 457.23

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Solution

The fourth proportional to 896.93, 1,342.89 and 457.23 is: 684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.93 : 1,342.89 = 457.23 : x
  2. Step 2: Convert to fraction form
    896.93/1,342.89 = 457.23/x
  3. Step 3: Cross multiply
    896.93x = 1,342.89 × 457.23
  4. Step 4: Simplify right side
    896.93x = 614,007.72
  5. Step 5: Solve for x
    x = 614,007.72/896.93
  6. Step 6: Final answer
    x = 684.57

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