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Finding the Fourth Proportional to 1,250.11, 1,725.56 and 807.67

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Solution

The fourth proportional to 1,250.11, 1,725.56 and 807.67 is: 1,114.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250.11 : 1,725.56 = 807.67 : x
  2. Step 2: Convert to fraction form
    1,250.11/1,725.56 = 807.67/x
  3. Step 3: Cross multiply
    1,250.11x = 1,725.56 × 807.67
  4. Step 4: Simplify right side
    1,250.11x = 1,393,683.05
  5. Step 5: Solve for x
    x = 1,393,683.05/1,250.11
  6. Step 6: Final answer
    x = 1,114.85

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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.