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Finding the Fourth Proportional to 1,255.76, 1,883.96 and 486.48

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Solution

The fourth proportional to 1,255.76, 1,883.96 and 486.48 is: 729.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.76 : 1,883.96 = 486.48 : x
  2. Step 2: Convert to fraction form
    1,255.76/1,883.96 = 486.48/x
  3. Step 3: Cross multiply
    1,255.76x = 1,883.96 × 486.48
  4. Step 4: Simplify right side
    1,255.76x = 916,508.86
  5. Step 5: Solve for x
    x = 916,508.86/1,255.76
  6. Step 6: Final answer
    x = 729.84

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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.