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Finding the Fourth Proportional to 782.57, 1,172.51 and 683.98

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Solution

The fourth proportional to 782.57, 1,172.51 and 683.98 is: 1,024.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.57 : 1,172.51 = 683.98 : x
  2. Step 2: Convert to fraction form
    782.57/1,172.51 = 683.98/x
  3. Step 3: Cross multiply
    782.57x = 1,172.51 × 683.98
  4. Step 4: Simplify right side
    782.57x = 801,967.53
  5. Step 5: Solve for x
    x = 801,967.53/782.57
  6. Step 6: Final answer
    x = 1,024.79

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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.