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Finding the Fourth Proportional to 842.53, 1,263.93 and 518.26

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Solution

The fourth proportional to 842.53, 1,263.93 and 518.26 is: 777.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.53 : 1,263.93 = 518.26 : x
  2. Step 2: Convert to fraction form
    842.53/1,263.93 = 518.26/x
  3. Step 3: Cross multiply
    842.53x = 1,263.93 × 518.26
  4. Step 4: Simplify right side
    842.53x = 655,044.36
  5. Step 5: Solve for x
    x = 655,044.36/842.53
  6. Step 6: Final answer
    x = 777.47

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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.