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Finding the Fourth Proportional to 904.74, 1,250.22 and 683.29

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Solution

The fourth proportional to 904.74, 1,250.22 and 683.29 is: 944.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.74 : 1,250.22 = 683.29 : x
  2. Step 2: Convert to fraction form
    904.74/1,250.22 = 683.29/x
  3. Step 3: Cross multiply
    904.74x = 1,250.22 × 683.29
  4. Step 4: Simplify right side
    904.74x = 854,262.82
  5. Step 5: Solve for x
    x = 854,262.82/904.74
  6. Step 6: Final answer
    x = 944.21

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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.