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Finding the Fourth Proportional to 977.38, 1,464.94 and 543.67

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Solution

The fourth proportional to 977.38, 1,464.94 and 543.67 is: 814.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.38 : 1,464.94 = 543.67 : x
  2. Step 2: Convert to fraction form
    977.38/1,464.94 = 543.67/x
  3. Step 3: Cross multiply
    977.38x = 1,464.94 × 543.67
  4. Step 4: Simplify right side
    977.38x = 796,443.93
  5. Step 5: Solve for x
    x = 796,443.93/977.38
  6. Step 6: Final answer
    x = 814.88

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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.