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Finding the Fourth Proportional to 804.40, 1,109.90 and 455.02

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Solution

The fourth proportional to 804.40, 1,109.90 and 455.02 is: 627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.40 : 1,109.90 = 455.02 : x
  2. Step 2: Convert to fraction form
    804.40/1,109.90 = 455.02/x
  3. Step 3: Cross multiply
    804.40x = 1,109.90 × 455.02
  4. Step 4: Simplify right side
    804.40x = 505,026.70
  5. Step 5: Solve for x
    x = 505,026.70/804.40
  6. Step 6: Final answer
    x = 627.83

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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.