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Finding the Fourth Proportional to 804.18, 1,206.50 and 475.41

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Solution

The fourth proportional to 804.18, 1,206.50 and 475.41 is: 713.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.18 : 1,206.50 = 475.41 : x
  2. Step 2: Convert to fraction form
    804.18/1,206.50 = 475.41/x
  3. Step 3: Cross multiply
    804.18x = 1,206.50 × 475.41
  4. Step 4: Simplify right side
    804.18x = 573,575.83
  5. Step 5: Solve for x
    x = 573,575.83/804.18
  6. Step 6: Final answer
    x = 713.24

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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.