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Finding the Fourth Proportional to 1,086.07, 1,627.42 and 508.27

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Solution

The fourth proportional to 1,086.07, 1,627.42 and 508.27 is: 761.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.07 : 1,627.42 = 508.27 : x
  2. Step 2: Convert to fraction form
    1,086.07/1,627.42 = 508.27/x
  3. Step 3: Cross multiply
    1,086.07x = 1,627.42 × 508.27
  4. Step 4: Simplify right side
    1,086.07x = 827,168.76
  5. Step 5: Solve for x
    x = 827,168.76/1,086.07
  6. Step 6: Final answer
    x = 761.62

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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.