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Finding the Fourth Proportional to 1,334.51, 2,001.75 and 513.03

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Solution

The fourth proportional to 1,334.51, 2,001.75 and 513.03 is: 769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,334.51 : 2,001.75 = 513.03 : x
  2. Step 2: Convert to fraction form
    1,334.51/2,001.75 = 513.03/x
  3. Step 3: Cross multiply
    1,334.51x = 2,001.75 × 513.03
  4. Step 4: Simplify right side
    1,334.51x = 1,026,957.80
  5. Step 5: Solve for x
    x = 1,026,957.80/1,334.51
  6. Step 6: Final answer
    x = 769.54

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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.