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Finding the Fourth Proportional to 1,165.15, 1,747.99 and 836.22

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Solution

The fourth proportional to 1,165.15, 1,747.99 and 836.22 is: 1,254.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.15 : 1,747.99 = 836.22 : x
  2. Step 2: Convert to fraction form
    1,165.15/1,747.99 = 836.22/x
  3. Step 3: Cross multiply
    1,165.15x = 1,747.99 × 836.22
  4. Step 4: Simplify right side
    1,165.15x = 1,461,704.20
  5. Step 5: Solve for x
    x = 1,461,704.20/1,165.15
  6. Step 6: Final answer
    x = 1,254.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.