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Finding the Fourth Proportional to 1,583.45, 2,375.46 and 717.75

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Solution

The fourth proportional to 1,583.45, 2,375.46 and 717.75 is: 1,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.45 : 2,375.46 = 717.75 : x
  2. Step 2: Convert to fraction form
    1,583.45/2,375.46 = 717.75/x
  3. Step 3: Cross multiply
    1,583.45x = 2,375.46 × 717.75
  4. Step 4: Simplify right side
    1,583.45x = 1,704,986.42
  5. Step 5: Solve for x
    x = 1,704,986.42/1,583.45
  6. Step 6: Final answer
    x = 1,076.76

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1.5x scale

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.