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Finding the Fourth Proportional to 1,272.91, 1,755.43 and 830.34

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Solution

The fourth proportional to 1,272.91, 1,755.43 and 830.34 is: 1,145.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.91 : 1,755.43 = 830.34 : x
  2. Step 2: Convert to fraction form
    1,272.91/1,755.43 = 830.34/x
  3. Step 3: Cross multiply
    1,272.91x = 1,755.43 × 830.34
  4. Step 4: Simplify right side
    1,272.91x = 1,457,603.75
  5. Step 5: Solve for x
    x = 1,457,603.75/1,272.91
  6. Step 6: Final answer
    x = 1,145.10

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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.