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Finding the Fourth Proportional to 845.37, 1,269 and 602.10

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Solution

The fourth proportional to 845.37, 1,269 and 602.10 is: 903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.37 : 1,269 = 602.10 : x
  2. Step 2: Convert to fraction form
    845.37/1,269 = 602.10/x
  3. Step 3: Cross multiply
    845.37x = 1,269 × 602.10
  4. Step 4: Simplify right side
    845.37x = 764,064.90
  5. Step 5: Solve for x
    x = 764,064.90/845.37
  6. Step 6: Final answer
    x = 903.82

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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.