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Finding the Fourth Proportional to 986.32, 1,477.45 and 941.23

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Solution

The fourth proportional to 986.32, 1,477.45 and 941.23 is: 1,409.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.32 : 1,477.45 = 941.23 : x
  2. Step 2: Convert to fraction form
    986.32/1,477.45 = 941.23/x
  3. Step 3: Cross multiply
    986.32x = 1,477.45 × 941.23
  4. Step 4: Simplify right side
    986.32x = 1,390,620.26
  5. Step 5: Solve for x
    x = 1,390,620.26/986.32
  6. Step 6: Final answer
    x = 1,409.91

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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.