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Finding the Fourth Proportional to 1,250.44, 1,725.17 and 830.99

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Solution

The fourth proportional to 1,250.44, 1,725.17 and 830.99 is: 1,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.44 : 1,725.17 = 830.99 : x
  2. Step 2: Convert to fraction form
    1,250.44/1,725.17 = 830.99/x
  3. Step 3: Cross multiply
    1,250.44x = 1,725.17 × 830.99
  4. Step 4: Simplify right side
    1,250.44x = 1,433,599.18
  5. Step 5: Solve for x
    x = 1,433,599.18/1,250.44
  6. Step 6: Final answer
    x = 1,146.48

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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.