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Finding the Fourth Proportional to 1,233.07, 1,846.67 and 683.89

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Solution

The fourth proportional to 1,233.07, 1,846.67 and 683.89 is: 1,024.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.07 : 1,846.67 = 683.89 : x
  2. Step 2: Convert to fraction form
    1,233.07/1,846.67 = 683.89/x
  3. Step 3: Cross multiply
    1,233.07x = 1,846.67 × 683.89
  4. Step 4: Simplify right side
    1,233.07x = 1,262,911.11
  5. Step 5: Solve for x
    x = 1,262,911.11/1,233.07
  6. Step 6: Final answer
    x = 1,024.20

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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.