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Finding the Fourth Proportional to 1,086.76, 1,630.06 and 306.80

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Solution

The fourth proportional to 1,086.76, 1,630.06 and 306.80 is: 460.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.76 : 1,630.06 = 306.80 : x
  2. Step 2: Convert to fraction form
    1,086.76/1,630.06 = 306.80/x
  3. Step 3: Cross multiply
    1,086.76x = 1,630.06 × 306.80
  4. Step 4: Simplify right side
    1,086.76x = 500,102.41
  5. Step 5: Solve for x
    x = 500,102.41/1,086.76
  6. Step 6: Final answer
    x = 460.18

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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.