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Finding the Fourth Proportional to 1,576.75, 2,363.46 and 535.75

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Solution

The fourth proportional to 1,576.75, 2,363.46 and 535.75 is: 803.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576.75 : 2,363.46 = 535.75 : x
  2. Step 2: Convert to fraction form
    1,576.75/2,363.46 = 535.75/x
  3. Step 3: Cross multiply
    1,576.75x = 2,363.46 × 535.75
  4. Step 4: Simplify right side
    1,576.75x = 1,266,223.70
  5. Step 5: Solve for x
    x = 1,266,223.70/1,576.75
  6. Step 6: Final answer
    x = 803.06

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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.