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Finding the Fourth Proportional to 1,576.42, 2,364.97 and 480.75

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Solution

The fourth proportional to 1,576.42, 2,364.97 and 480.75 is: 721.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.42 : 2,364.97 = 480.75 : x
  2. Step 2: Convert to fraction form
    1,576.42/2,364.97 = 480.75/x
  3. Step 3: Cross multiply
    1,576.42x = 2,364.97 × 480.75
  4. Step 4: Simplify right side
    1,576.42x = 1,136,959.33
  5. Step 5: Solve for x
    x = 1,136,959.33/1,576.42
  6. Step 6: Final answer
    x = 721.23

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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.