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Finding the Fourth Proportional to 782.65, 1,172.62 and 490.24

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Solution

The fourth proportional to 782.65, 1,172.62 and 490.24 is: 734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.65 : 1,172.62 = 490.24 : x
  2. Step 2: Convert to fraction form
    782.65/1,172.62 = 490.24/x
  3. Step 3: Cross multiply
    782.65x = 1,172.62 × 490.24
  4. Step 4: Simplify right side
    782.65x = 574,865.23
  5. Step 5: Solve for x
    x = 574,865.23/782.65
  6. Step 6: Final answer
    x = 734.51

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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.