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Finding the Fourth Proportional to 977.90, 1,467.23 and 490.86

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Solution

The fourth proportional to 977.90, 1,467.23 and 490.86 is: 736.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.90 : 1,467.23 = 490.86 : x
  2. Step 2: Convert to fraction form
    977.90/1,467.23 = 490.86/x
  3. Step 3: Cross multiply
    977.90x = 1,467.23 × 490.86
  4. Step 4: Simplify right side
    977.90x = 720,202.06
  5. Step 5: Solve for x
    x = 720,202.06/977.90
  6. Step 6: Final answer
    x = 736.48

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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.