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Finding the Fourth Proportional to 1,750.55, 2,626.38 and 826.07

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Solution

The fourth proportional to 1,750.55, 2,626.38 and 826.07 is: 1,239.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.55 : 2,626.38 = 826.07 : x
  2. Step 2: Convert to fraction form
    1,750.55/2,626.38 = 826.07/x
  3. Step 3: Cross multiply
    1,750.55x = 2,626.38 × 826.07
  4. Step 4: Simplify right side
    1,750.55x = 2,169,573.73
  5. Step 5: Solve for x
    x = 2,169,573.73/1,750.55
  6. Step 6: Final answer
    x = 1,239.37

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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.