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Finding the Fourth Proportional to 1,409.50, 2,114.24 and 576.38

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Solution

The fourth proportional to 1,409.50, 2,114.24 and 576.38 is: 864.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.50 : 2,114.24 = 576.38 : x
  2. Step 2: Convert to fraction form
    1,409.50/2,114.24 = 576.38/x
  3. Step 3: Cross multiply
    1,409.50x = 2,114.24 × 576.38
  4. Step 4: Simplify right side
    1,409.50x = 1,218,608.05
  5. Step 5: Solve for x
    x = 1,218,608.05/1,409.50
  6. Step 6: Final answer
    x = 864.57

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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.