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Finding the Fourth Proportional to 1,304.84, 1,800.66 and 745.32

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Solution

The fourth proportional to 1,304.84, 1,800.66 and 745.32 is: 1,028.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.84 : 1,800.66 = 745.32 : x
  2. Step 2: Convert to fraction form
    1,304.84/1,800.66 = 745.32/x
  3. Step 3: Cross multiply
    1,304.84x = 1,800.66 × 745.32
  4. Step 4: Simplify right side
    1,304.84x = 1,342,067.91
  5. Step 5: Solve for x
    x = 1,342,067.91/1,304.84
  6. Step 6: Final answer
    x = 1,028.53

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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.