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Finding the Fourth Proportional to 977.65, 1,466.43 and 490.33

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Solution

The fourth proportional to 977.65, 1,466.43 and 490.33 is: 735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.65 : 1,466.43 = 490.33 : x
  2. Step 2: Convert to fraction form
    977.65/1,466.43 = 490.33/x
  3. Step 3: Cross multiply
    977.65x = 1,466.43 × 490.33
  4. Step 4: Simplify right side
    977.65x = 719,034.62
  5. Step 5: Solve for x
    x = 719,034.62/977.65
  6. Step 6: Final answer
    x = 735.47

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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.