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Finding the Fourth Proportional to 1,748.26, 2,624.21 and 775.04

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Solution

The fourth proportional to 1,748.26, 2,624.21 and 775.04 is: 1,163.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.26 : 2,624.21 = 775.04 : x
  2. Step 2: Convert to fraction form
    1,748.26/2,624.21 = 775.04/x
  3. Step 3: Cross multiply
    1,748.26x = 2,624.21 × 775.04
  4. Step 4: Simplify right side
    1,748.26x = 2,033,876.22
  5. Step 5: Solve for x
    x = 2,033,876.22/1,748.26
  6. Step 6: Final answer
    x = 1,163.37

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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.