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Finding the Fourth Proportional to 849.88, 1,171.90 and 587.44

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Solution

The fourth proportional to 849.88, 1,171.90 and 587.44 is: 810.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.88 : 1,171.90 = 587.44 : x
  2. Step 2: Convert to fraction form
    849.88/1,171.90 = 587.44/x
  3. Step 3: Cross multiply
    849.88x = 1,171.90 × 587.44
  4. Step 4: Simplify right side
    849.88x = 688,420.94
  5. Step 5: Solve for x
    x = 688,420.94/849.88
  6. Step 6: Final answer
    x = 810.02

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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.