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Finding the Fourth Proportional to 921.98, 1,272.60 and 607.48

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Solution

The fourth proportional to 921.98, 1,272.60 and 607.48 is: 838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.98 : 1,272.60 = 607.48 : x
  2. Step 2: Convert to fraction form
    921.98/1,272.60 = 607.48/x
  3. Step 3: Cross multiply
    921.98x = 1,272.60 × 607.48
  4. Step 4: Simplify right side
    921.98x = 773,072.69
  5. Step 5: Solve for x
    x = 773,072.69/921.98
  6. Step 6: Final answer
    x = 838.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.