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Finding the Fourth Proportional to 1,040.14, 1,434.63 and 775.49

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Solution

The fourth proportional to 1,040.14, 1,434.63 and 775.49 is: 1,069.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.14 : 1,434.63 = 775.49 : x
  2. Step 2: Convert to fraction form
    1,040.14/1,434.63 = 775.49/x
  3. Step 3: Cross multiply
    1,040.14x = 1,434.63 × 775.49
  4. Step 4: Simplify right side
    1,040.14x = 1,112,540.66
  5. Step 5: Solve for x
    x = 1,112,540.66/1,040.14
  6. Step 6: Final answer
    x = 1,069.61

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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.