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Finding the Fourth Proportional to 1,735.22, 2,602.85 and 580.97

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Solution

The fourth proportional to 1,735.22, 2,602.85 and 580.97 is: 871.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735.22 : 2,602.85 = 580.97 : x
  2. Step 2: Convert to fraction form
    1,735.22/2,602.85 = 580.97/x
  3. Step 3: Cross multiply
    1,735.22x = 2,602.85 × 580.97
  4. Step 4: Simplify right side
    1,735.22x = 1,512,161.85
  5. Step 5: Solve for x
    x = 1,512,161.85/1,735.22
  6. Step 6: Final answer
    x = 871.46

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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.