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Finding the Fourth Proportional to 1,499.40, 2,069.16 and 836.27

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Solution

The fourth proportional to 1,499.40, 2,069.16 and 836.27 is: 1,154.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.40 : 2,069.16 = 836.27 : x
  2. Step 2: Convert to fraction form
    1,499.40/2,069.16 = 836.27/x
  3. Step 3: Cross multiply
    1,499.40x = 2,069.16 × 836.27
  4. Step 4: Simplify right side
    1,499.40x = 1,730,366.09
  5. Step 5: Solve for x
    x = 1,730,366.09/1,499.40
  6. Step 6: Final answer
    x = 1,154.04

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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.