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Finding the Fourth Proportional to 1,736.24, 2,604.36 and 762.35

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Solution

The fourth proportional to 1,736.24, 2,604.36 and 762.35 is: 1,143.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736.24 : 2,604.36 = 762.35 : x
  2. Step 2: Convert to fraction form
    1,736.24/2,604.36 = 762.35/x
  3. Step 3: Cross multiply
    1,736.24x = 2,604.36 × 762.35
  4. Step 4: Simplify right side
    1,736.24x = 1,985,433.85
  5. Step 5: Solve for x
    x = 1,985,433.85/1,736.24
  6. Step 6: Final answer
    x = 1,143.53

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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.