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Finding the Fourth Proportional to 1,499.69, 2,069.50 and 836.61

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Solution

The fourth proportional to 1,499.69, 2,069.50 and 836.61 is: 1,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.69 : 2,069.50 = 836.61 : x
  2. Step 2: Convert to fraction form
    1,499.69/2,069.50 = 836.61/x
  3. Step 3: Cross multiply
    1,499.69x = 2,069.50 × 836.61
  4. Step 4: Simplify right side
    1,499.69x = 1,731,364.40
  5. Step 5: Solve for x
    x = 1,731,364.40/1,499.69
  6. Step 6: Final answer
    x = 1,154.48

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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.