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Finding the Fourth Proportional to 1,086.31, 1,627.16 and 501.79

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Solution

The fourth proportional to 1,086.31, 1,627.16 and 501.79 is: 751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.31 : 1,627.16 = 501.79 : x
  2. Step 2: Convert to fraction form
    1,086.31/1,627.16 = 501.79/x
  3. Step 3: Cross multiply
    1,086.31x = 1,627.16 × 501.79
  4. Step 4: Simplify right side
    1,086.31x = 816,492.62
  5. Step 5: Solve for x
    x = 816,492.62/1,086.31
  6. Step 6: Final answer
    x = 751.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.