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Finding the Fourth Proportional to 985.36, 1,477.20 and 659.92

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Solution

The fourth proportional to 985.36, 1,477.20 and 659.92 is: 989.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    985.36 : 1,477.20 = 659.92 : x
  2. Step 2: Convert to fraction form
    985.36/1,477.20 = 659.92/x
  3. Step 3: Cross multiply
    985.36x = 1,477.20 × 659.92
  4. Step 4: Simplify right side
    985.36x = 974,833.82
  5. Step 5: Solve for x
    x = 974,833.82/985.36
  6. Step 6: Final answer
    x = 989.32

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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.