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Finding the Fourth Proportional to 1,576.52, 2,364.51 and 422

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Solution

The fourth proportional to 1,576.52, 2,364.51 and 422 is: 632.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.52 : 2,364.51 = 422 : x
  2. Step 2: Convert to fraction form
    1,576.52/2,364.51 = 422/x
  3. Step 3: Cross multiply
    1,576.52x = 2,364.51 × 422
  4. Step 4: Simplify right side
    1,576.52x = 997,823.22
  5. Step 5: Solve for x
    x = 997,823.22/1,576.52
  6. Step 6: Final answer
    x = 632.93

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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.