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Finding the Fourth Proportional to 1,255.48, 1,883.10 and 768.28

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Solution

The fourth proportional to 1,255.48, 1,883.10 and 768.28 is: 1,152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.48 : 1,883.10 = 768.28 : x
  2. Step 2: Convert to fraction form
    1,255.48/1,883.10 = 768.28/x
  3. Step 3: Cross multiply
    1,255.48x = 1,883.10 × 768.28
  4. Step 4: Simplify right side
    1,255.48x = 1,446,748.07
  5. Step 5: Solve for x
    x = 1,446,748.07/1,255.48
  6. Step 6: Final answer
    x = 1,152.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.