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Finding the Fourth Proportional to 1,499.30, 2,068.64 and 836

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Solution

The fourth proportional to 1,499.30, 2,068.64 and 836 is: 1,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,499.30 : 2,068.64 = 836 : x
  2. Step 2: Convert to fraction form
    1,499.30/2,068.64 = 836/x
  3. Step 3: Cross multiply
    1,499.30x = 2,068.64 × 836
  4. Step 4: Simplify right side
    1,499.30x = 1,729,383.04
  5. Step 5: Solve for x
    x = 1,729,383.04/1,499.30
  6. Step 6: Final answer
    x = 1,153.46

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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.