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Finding the Fourth Proportional to 1,306.93, 1,960.58 and 382.37

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Solution

The fourth proportional to 1,306.93, 1,960.58 and 382.37 is: 573.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.93 : 1,960.58 = 382.37 : x
  2. Step 2: Convert to fraction form
    1,306.93/1,960.58 = 382.37/x
  3. Step 3: Cross multiply
    1,306.93x = 1,960.58 × 382.37
  4. Step 4: Simplify right side
    1,306.93x = 749,672.83
  5. Step 5: Solve for x
    x = 749,672.83/1,306.93
  6. Step 6: Final answer
    x = 573.61

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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.