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Finding the Fourth Proportional to 807.44, 1,114.65 and 571.59

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Solution

The fourth proportional to 807.44, 1,114.65 and 571.59 is: 789.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.44 : 1,114.65 = 571.59 : x
  2. Step 2: Convert to fraction form
    807.44/1,114.65 = 571.59/x
  3. Step 3: Cross multiply
    807.44x = 1,114.65 × 571.59
  4. Step 4: Simplify right side
    807.44x = 637,122.79
  5. Step 5: Solve for x
    x = 637,122.79/807.44
  6. Step 6: Final answer
    x = 789.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.