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Finding the Fourth Proportional to 849.82, 1,272.27 and 437.98

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Solution

The fourth proportional to 849.82, 1,272.27 and 437.98 is: 655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.82 : 1,272.27 = 437.98 : x
  2. Step 2: Convert to fraction form
    849.82/1,272.27 = 437.98/x
  3. Step 3: Cross multiply
    849.82x = 1,272.27 × 437.98
  4. Step 4: Simplify right side
    849.82x = 557,228.81
  5. Step 5: Solve for x
    x = 557,228.81/849.82
  6. Step 6: Final answer
    x = 655.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.