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Finding the Fourth Proportional to 1,076.46, 1,613.82 and 382.74

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Solution

The fourth proportional to 1,076.46, 1,613.82 and 382.74 is: 573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.46 : 1,613.82 = 382.74 : x
  2. Step 2: Convert to fraction form
    1,076.46/1,613.82 = 382.74/x
  3. Step 3: Cross multiply
    1,076.46x = 1,613.82 × 382.74
  4. Step 4: Simplify right side
    1,076.46x = 617,673.47
  5. Step 5: Solve for x
    x = 617,673.47/1,076.46
  6. Step 6: Final answer
    x = 573.80

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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.