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Finding the Fourth Proportional to 1,729.53, 2,594.27 and 575.25

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Solution

The fourth proportional to 1,729.53, 2,594.27 and 575.25 is: 862.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.53 : 2,594.27 = 575.25 : x
  2. Step 2: Convert to fraction form
    1,729.53/2,594.27 = 575.25/x
  3. Step 3: Cross multiply
    1,729.53x = 2,594.27 × 575.25
  4. Step 4: Simplify right side
    1,729.53x = 1,492,350.94
  5. Step 5: Solve for x
    x = 1,492,350.94/1,729.53
  6. Step 6: Final answer
    x = 862.87

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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.