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Finding the Fourth Proportional to 1,499.50, 2,069.37 and 836.44

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Solution

The fourth proportional to 1,499.50, 2,069.37 and 836.44 is: 1,154.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.50 : 2,069.37 = 836.44 : x
  2. Step 2: Convert to fraction form
    1,499.50/2,069.37 = 836.44/x
  3. Step 3: Cross multiply
    1,499.50x = 2,069.37 × 836.44
  4. Step 4: Simplify right side
    1,499.50x = 1,730,903.84
  5. Step 5: Solve for x
    x = 1,730,903.84/1,499.50
  6. Step 6: Final answer
    x = 1,154.32

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Why These Related Problems?

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