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Finding the Fourth Proportional to 1,304.15, 1,955.62 and 756.49

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Solution

The fourth proportional to 1,304.15, 1,955.62 and 756.49 is: 1,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,304.15 : 1,955.62 = 756.49 : x
  2. Step 2: Convert to fraction form
    1,304.15/1,955.62 = 756.49/x
  3. Step 3: Cross multiply
    1,304.15x = 1,955.62 × 756.49
  4. Step 4: Simplify right side
    1,304.15x = 1,479,413.75
  5. Step 5: Solve for x
    x = 1,479,413.75/1,304.15
  6. Step 6: Final answer
    x = 1,134.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.