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Finding the Fourth Proportional to 1,037.49, 1,431.26 and 683.31

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Solution

The fourth proportional to 1,037.49, 1,431.26 and 683.31 is: 942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.49 : 1,431.26 = 683.31 : x
  2. Step 2: Convert to fraction form
    1,037.49/1,431.26 = 683.31/x
  3. Step 3: Cross multiply
    1,037.49x = 1,431.26 × 683.31
  4. Step 4: Simplify right side
    1,037.49x = 977,990.85
  5. Step 5: Solve for x
    x = 977,990.85/1,037.49
  6. Step 6: Final answer
    x = 942.66

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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.