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Finding the Fourth Proportional to 1,086.89, 1,630.15 and 306.81

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Solution

The fourth proportional to 1,086.89, 1,630.15 and 306.81 is: 460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.89 : 1,630.15 = 306.81 : x
  2. Step 2: Convert to fraction form
    1,086.89/1,630.15 = 306.81/x
  3. Step 3: Cross multiply
    1,086.89x = 1,630.15 × 306.81
  4. Step 4: Simplify right side
    1,086.89x = 500,146.32
  5. Step 5: Solve for x
    x = 500,146.32/1,086.89
  6. Step 6: Final answer
    x = 460.16

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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.