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Finding the Fourth Proportional to 1,256.54, 1,883.76 and 735.26

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Solution

The fourth proportional to 1,256.54, 1,883.76 and 735.26 is: 1,102.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.54 : 1,883.76 = 735.26 : x
  2. Step 2: Convert to fraction form
    1,256.54/1,883.76 = 735.26/x
  3. Step 3: Cross multiply
    1,256.54x = 1,883.76 × 735.26
  4. Step 4: Simplify right side
    1,256.54x = 1,385,043.96
  5. Step 5: Solve for x
    x = 1,385,043.96/1,256.54
  6. Step 6: Final answer
    x = 1,102.27

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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.