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Finding the Fourth Proportional to 1,607.83, 2,411.26 and 683.38

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Solution

The fourth proportional to 1,607.83, 2,411.26 and 683.38 is: 1,024.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,607.83 : 2,411.26 = 683.38 : x
  2. Step 2: Convert to fraction form
    1,607.83/2,411.26 = 683.38/x
  3. Step 3: Cross multiply
    1,607.83x = 2,411.26 × 683.38
  4. Step 4: Simplify right side
    1,607.83x = 1,647,806.86
  5. Step 5: Solve for x
    x = 1,647,806.86/1,607.83
  6. Step 6: Final answer
    x = 1,024.86

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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.