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Finding the Fourth Proportional to 845.34, 1,259.46 and 804.03

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Solution

The fourth proportional to 845.34, 1,259.46 and 804.03 is: 1,197.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.34 : 1,259.46 = 804.03 : x
  2. Step 2: Convert to fraction form
    845.34/1,259.46 = 804.03/x
  3. Step 3: Cross multiply
    845.34x = 1,259.46 × 804.03
  4. Step 4: Simplify right side
    845.34x = 1,012,643.62
  5. Step 5: Solve for x
    x = 1,012,643.62/845.34
  6. Step 6: Final answer
    x = 1,197.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.