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Finding the Fourth Proportional to 977.34, 1,464.57 and 905.34

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Solution

The fourth proportional to 977.34, 1,464.57 and 905.34 is: 1,356.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.34 : 1,464.57 = 905.34 : x
  2. Step 2: Convert to fraction form
    977.34/1,464.57 = 905.34/x
  3. Step 3: Cross multiply
    977.34x = 1,464.57 × 905.34
  4. Step 4: Simplify right side
    977.34x = 1,325,933.80
  5. Step 5: Solve for x
    x = 1,325,933.80/977.34
  6. Step 6: Final answer
    x = 1,356.68

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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.