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Finding the Fourth Proportional to 1,037.03, 1,431.29 and 617.63

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Solution

The fourth proportional to 1,037.03, 1,431.29 and 617.63 is: 852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.03 : 1,431.29 = 617.63 : x
  2. Step 2: Convert to fraction form
    1,037.03/1,431.29 = 617.63/x
  3. Step 3: Cross multiply
    1,037.03x = 1,431.29 × 617.63
  4. Step 4: Simplify right side
    1,037.03x = 883,998.56
  5. Step 5: Solve for x
    x = 883,998.56/1,037.03
  6. Step 6: Final answer
    x = 852.43

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