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Finding the Fourth Proportional to 1,450.94, 2,176.47 and 411.02

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Solution

The fourth proportional to 1,450.94, 2,176.47 and 411.02 is: 616.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.94 : 2,176.47 = 411.02 : x
  2. Step 2: Convert to fraction form
    1,450.94/2,176.47 = 411.02/x
  3. Step 3: Cross multiply
    1,450.94x = 2,176.47 × 411.02
  4. Step 4: Simplify right side
    1,450.94x = 894,561.82
  5. Step 5: Solve for x
    x = 894,561.82/1,450.94
  6. Step 6: Final answer
    x = 616.54

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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.