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Finding the Fourth Proportional to 1,729.70, 2,594.75 and 575.45

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Solution

The fourth proportional to 1,729.70, 2,594.75 and 575.45 is: 863.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.70 : 2,594.75 = 575.45 : x
  2. Step 2: Convert to fraction form
    1,729.70/2,594.75 = 575.45/x
  3. Step 3: Cross multiply
    1,729.70x = 2,594.75 × 575.45
  4. Step 4: Simplify right side
    1,729.70x = 1,493,133.04
  5. Step 5: Solve for x
    x = 1,493,133.04/1,729.70
  6. Step 6: Final answer
    x = 863.23

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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.