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Finding the Fourth Proportional to 804.66, 1,110.53 and 455.35

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Solution

The fourth proportional to 804.66, 1,110.53 and 455.35 is: 628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.66 : 1,110.53 = 455.35 : x
  2. Step 2: Convert to fraction form
    804.66/1,110.53 = 455.35/x
  3. Step 3: Cross multiply
    804.66x = 1,110.53 × 455.35
  4. Step 4: Simplify right side
    804.66x = 505,677.56
  5. Step 5: Solve for x
    x = 505,677.56/804.66
  6. Step 6: Final answer
    x = 628.44

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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.