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Finding the Fourth Proportional to 1,353.43, 2,029.97 and 573.75

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Solution

The fourth proportional to 1,353.43, 2,029.97 and 573.75 is: 860.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.43 : 2,029.97 = 573.75 : x
  2. Step 2: Convert to fraction form
    1,353.43/2,029.97 = 573.75/x
  3. Step 3: Cross multiply
    1,353.43x = 2,029.97 × 573.75
  4. Step 4: Simplify right side
    1,353.43x = 1,164,696.72
  5. Step 5: Solve for x
    x = 1,164,696.72/1,353.43
  6. Step 6: Final answer
    x = 860.55

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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.