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Finding the Fourth Proportional to 1,730.99, 2,596.49 and 757.06

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Solution

The fourth proportional to 1,730.99, 2,596.49 and 757.06 is: 1,135.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.99 : 2,596.49 = 757.06 : x
  2. Step 2: Convert to fraction form
    1,730.99/2,596.49 = 757.06/x
  3. Step 3: Cross multiply
    1,730.99x = 2,596.49 × 757.06
  4. Step 4: Simplify right side
    1,730.99x = 1,965,698.72
  5. Step 5: Solve for x
    x = 1,965,698.72/1,730.99
  6. Step 6: Final answer
    x = 1,135.59

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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.