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Finding the Fourth Proportional to 1,086.17, 1,499.67 and 837.09

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Solution

The fourth proportional to 1,086.17, 1,499.67 and 837.09 is: 1,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.17 : 1,499.67 = 837.09 : x
  2. Step 2: Convert to fraction form
    1,086.17/1,499.67 = 837.09/x
  3. Step 3: Cross multiply
    1,086.17x = 1,499.67 × 837.09
  4. Step 4: Simplify right side
    1,086.17x = 1,255,358.76
  5. Step 5: Solve for x
    x = 1,255,358.76/1,086.17
  6. Step 6: Final answer
    x = 1,155.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.