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Finding the Fourth Proportional to 1,499.40, 2,069.01 and 836.21

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Solution

The fourth proportional to 1,499.40, 2,069.01 and 836.21 is: 1,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.40 : 2,069.01 = 836.21 : x
  2. Step 2: Convert to fraction form
    1,499.40/2,069.01 = 836.21/x
  3. Step 3: Cross multiply
    1,499.40x = 2,069.01 × 836.21
  4. Step 4: Simplify right side
    1,499.40x = 1,730,126.85
  5. Step 5: Solve for x
    x = 1,730,126.85/1,499.40
  6. Step 6: Final answer
    x = 1,153.88

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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.