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Finding the Fourth Proportional to 1,576.50, 2,364.73 and 537.23

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Solution

The fourth proportional to 1,576.50, 2,364.73 and 537.23 is: 805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.50 : 2,364.73 = 537.23 : x
  2. Step 2: Convert to fraction form
    1,576.50/2,364.73 = 537.23/x
  3. Step 3: Cross multiply
    1,576.50x = 2,364.73 × 537.23
  4. Step 4: Simplify right side
    1,576.50x = 1,270,400.76
  5. Step 5: Solve for x
    x = 1,270,400.76/1,576.50
  6. Step 6: Final answer
    x = 805.83

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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.