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Finding the Fourth Proportional to 1,103.67, 1,523.07 and 683.91

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Solution

The fourth proportional to 1,103.67, 1,523.07 and 683.91 is: 943.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103.67 : 1,523.07 = 683.91 : x
  2. Step 2: Convert to fraction form
    1,103.67/1,523.07 = 683.91/x
  3. Step 3: Cross multiply
    1,103.67x = 1,523.07 × 683.91
  4. Step 4: Simplify right side
    1,103.67x = 1,041,642.80
  5. Step 5: Solve for x
    x = 1,041,642.80/1,103.67
  6. Step 6: Final answer
    x = 943.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.