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Finding the Fourth Proportional to 1,144.25, 1,577.85 and 1,026.40

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Solution

The fourth proportional to 1,144.25, 1,577.85 and 1,026.40 is: 1,415.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.25 : 1,577.85 = 1,026.40 : x
  2. Step 2: Convert to fraction form
    1,144.25/1,577.85 = 1,026.40/x
  3. Step 3: Cross multiply
    1,144.25x = 1,577.85 × 1,026.40
  4. Step 4: Simplify right side
    1,144.25x = 1,619,505.24
  5. Step 5: Solve for x
    x = 1,619,505.24/1,144.25
  6. Step 6: Final answer
    x = 1,415.34

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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.