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Finding the Fourth Proportional to 977.64, 1,464.21 and 543.84

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Solution

The fourth proportional to 977.64, 1,464.21 and 543.84 is: 814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.64 : 1,464.21 = 543.84 : x
  2. Step 2: Convert to fraction form
    977.64/1,464.21 = 543.84/x
  3. Step 3: Cross multiply
    977.64x = 1,464.21 × 543.84
  4. Step 4: Simplify right side
    977.64x = 796,295.97
  5. Step 5: Solve for x
    x = 796,295.97/977.64
  6. Step 6: Final answer
    x = 814.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.