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Finding the Fourth Proportional to 977.92, 1,464.80 and 684.72

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Solution

The fourth proportional to 977.92, 1,464.80 and 684.72 is: 1,025.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.92 : 1,464.80 = 684.72 : x
  2. Step 2: Convert to fraction form
    977.92/1,464.80 = 684.72/x
  3. Step 3: Cross multiply
    977.92x = 1,464.80 × 684.72
  4. Step 4: Simplify right side
    977.92x = 1,002,977.86
  5. Step 5: Solve for x
    x = 1,002,977.86/977.92
  6. Step 6: Final answer
    x = 1,025.63

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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.