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Finding the Fourth Proportional to 896.53, 1,342.90 and 409.99

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Solution

The fourth proportional to 896.53, 1,342.90 and 409.99 is: 614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    896.53 : 1,342.90 = 409.99 : x
  2. Step 2: Convert to fraction form
    896.53/1,342.90 = 409.99/x
  3. Step 3: Cross multiply
    896.53x = 1,342.90 × 409.99
  4. Step 4: Simplify right side
    896.53x = 550,567.83
  5. Step 5: Solve for x
    x = 550,567.83/896.53
  6. Step 6: Final answer
    x = 614.11

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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.