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Finding the Fourth Proportional to 1,306.49, 1,959.51 and 428.97

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Solution

The fourth proportional to 1,306.49, 1,959.51 and 428.97 is: 643.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.49 : 1,959.51 = 428.97 : x
  2. Step 2: Convert to fraction form
    1,306.49/1,959.51 = 428.97/x
  3. Step 3: Cross multiply
    1,306.49x = 1,959.51 × 428.97
  4. Step 4: Simplify right side
    1,306.49x = 840,571.00
  5. Step 5: Solve for x
    x = 840,571.00/1,306.49
  6. Step 6: Final answer
    x = 643.38

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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.