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Finding the Fourth Proportional to 807.81, 1,114.73 and 453.69

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Solution

The fourth proportional to 807.81, 1,114.73 and 453.69 is: 626.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.81 : 1,114.73 = 453.69 : x
  2. Step 2: Convert to fraction form
    807.81/1,114.73 = 453.69/x
  3. Step 3: Cross multiply
    807.81x = 1,114.73 × 453.69
  4. Step 4: Simplify right side
    807.81x = 505,741.85
  5. Step 5: Solve for x
    x = 505,741.85/807.81
  6. Step 6: Final answer
    x = 626.07

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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.