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Finding the Fourth Proportional to 1,306.50, 1,960.16 and 382.08

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Solution

The fourth proportional to 1,306.50, 1,960.16 and 382.08 is: 573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.50 : 1,960.16 = 382.08 : x
  2. Step 2: Convert to fraction form
    1,306.50/1,960.16 = 382.08/x
  3. Step 3: Cross multiply
    1,306.50x = 1,960.16 × 382.08
  4. Step 4: Simplify right side
    1,306.50x = 748,936.02
  5. Step 5: Solve for x
    x = 748,936.02/1,306.50
  6. Step 6: Final answer
    x = 573.24

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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.