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Finding the Fourth Proportional to 1,272.81, 1,755.37 and 830.25

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Solution

The fourth proportional to 1,272.81, 1,755.37 and 830.25 is: 1,145.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.81 : 1,755.37 = 830.25 : x
  2. Step 2: Convert to fraction form
    1,272.81/1,755.37 = 830.25/x
  3. Step 3: Cross multiply
    1,272.81x = 1,755.37 × 830.25
  4. Step 4: Simplify right side
    1,272.81x = 1,457,396.98
  5. Step 5: Solve for x
    x = 1,457,396.98/1,272.81
  6. Step 6: Final answer
    x = 1,145.02

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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.