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Finding the Fourth Proportional to 1,576.52, 2,364.20 and 522.12

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Solution

The fourth proportional to 1,576.52, 2,364.20 and 522.12 is: 782.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.52 : 2,364.20 = 522.12 : x
  2. Step 2: Convert to fraction form
    1,576.52/2,364.20 = 522.12/x
  3. Step 3: Cross multiply
    1,576.52x = 2,364.20 × 522.12
  4. Step 4: Simplify right side
    1,576.52x = 1,234,396.10
  5. Step 5: Solve for x
    x = 1,234,396.10/1,576.52
  6. Step 6: Final answer
    x = 782.99

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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.