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Finding the Fourth Proportional to 985.21, 1,477.81 and 437.38

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Solution

The fourth proportional to 985.21, 1,477.81 and 437.38 is: 656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.21 : 1,477.81 = 437.38 : x
  2. Step 2: Convert to fraction form
    985.21/1,477.81 = 437.38/x
  3. Step 3: Cross multiply
    985.21x = 1,477.81 × 437.38
  4. Step 4: Simplify right side
    985.21x = 646,357.15
  5. Step 5: Solve for x
    x = 646,357.15/985.21
  6. Step 6: Final answer
    x = 656.06

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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.