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Finding the Fourth Proportional to 1,729.55, 2,594.33 and 755.73

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Solution

The fourth proportional to 1,729.55, 2,594.33 and 755.73 is: 1,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.55 : 2,594.33 = 755.73 : x
  2. Step 2: Convert to fraction form
    1,729.55/2,594.33 = 755.73/x
  3. Step 3: Cross multiply
    1,729.55x = 2,594.33 × 755.73
  4. Step 4: Simplify right side
    1,729.55x = 1,960,612.07
  5. Step 5: Solve for x
    x = 1,960,612.07/1,729.55
  6. Step 6: Final answer
    x = 1,133.60

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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.