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Finding the Fourth Proportional to 1,306.42, 1,959.84 and 382

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Solution

The fourth proportional to 1,306.42, 1,959.84 and 382 is: 573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.42 : 1,959.84 = 382 : x
  2. Step 2: Convert to fraction form
    1,306.42/1,959.84 = 382/x
  3. Step 3: Cross multiply
    1,306.42x = 1,959.84 × 382
  4. Step 4: Simplify right side
    1,306.42x = 748,658.88
  5. Step 5: Solve for x
    x = 748,658.88/1,306.42
  6. Step 6: Final answer
    x = 573.06

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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.