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Finding the Fourth Proportional to 1,076.06, 1,613.96 and 306.50

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Solution

The fourth proportional to 1,076.06, 1,613.96 and 306.50 is: 459.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.06 : 1,613.96 = 306.50 : x
  2. Step 2: Convert to fraction form
    1,076.06/1,613.96 = 306.50/x
  3. Step 3: Cross multiply
    1,076.06x = 1,613.96 × 306.50
  4. Step 4: Simplify right side
    1,076.06x = 494,678.74
  5. Step 5: Solve for x
    x = 494,678.74/1,076.06
  6. Step 6: Final answer
    x = 459.71

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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.