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Finding the Fourth Proportional to 1,306.84, 1,960.35 and 382.38

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Solution

The fourth proportional to 1,306.84, 1,960.35 and 382.38 is: 573.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.84 : 1,960.35 = 382.38 : x
  2. Step 2: Convert to fraction form
    1,306.84/1,960.35 = 382.38/x
  3. Step 3: Cross multiply
    1,306.84x = 1,960.35 × 382.38
  4. Step 4: Simplify right side
    1,306.84x = 749,598.63
  5. Step 5: Solve for x
    x = 749,598.63/1,306.84
  6. Step 6: Final answer
    x = 573.60

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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.