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Finding the Fourth Proportional to 1,576.44, 2,364.64 and 537.18

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Solution

The fourth proportional to 1,576.44, 2,364.64 and 537.18 is: 805.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.44 : 2,364.64 = 537.18 : x
  2. Step 2: Convert to fraction form
    1,576.44/2,364.64 = 537.18/x
  3. Step 3: Cross multiply
    1,576.44x = 2,364.64 × 537.18
  4. Step 4: Simplify right side
    1,576.44x = 1,270,243.43
  5. Step 5: Solve for x
    x = 1,270,243.43/1,576.44
  6. Step 6: Final answer
    x = 805.77

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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.