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Finding the Fourth Proportional to 1,255.26, 1,883.07 and 1,023.60

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Solution

The fourth proportional to 1,255.26, 1,883.07 and 1,023.60 is: 1,535.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.26 : 1,883.07 = 1,023.60 : x
  2. Step 2: Convert to fraction form
    1,255.26/1,883.07 = 1,023.60/x
  3. Step 3: Cross multiply
    1,255.26x = 1,883.07 × 1,023.60
  4. Step 4: Simplify right side
    1,255.26x = 1,927,510.45
  5. Step 5: Solve for x
    x = 1,927,510.45/1,255.26
  6. Step 6: Final answer
    x = 1,535.55

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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.