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Finding the Fourth Proportional to 804.50, 1,110.24 and 455.24

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Solution

The fourth proportional to 804.50, 1,110.24 and 455.24 is: 628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.50 : 1,110.24 = 455.24 : x
  2. Step 2: Convert to fraction form
    804.50/1,110.24 = 455.24/x
  3. Step 3: Cross multiply
    804.50x = 1,110.24 × 455.24
  4. Step 4: Simplify right side
    804.50x = 505,425.66
  5. Step 5: Solve for x
    x = 505,425.66/804.50
  6. Step 6: Final answer
    x = 628.25

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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.