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Finding the Fourth Proportional to 1,185.36, 1,774.93 and 836.81

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Solution

The fourth proportional to 1,185.36, 1,774.93 and 836.81 is: 1,253.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.36 : 1,774.93 = 836.81 : x
  2. Step 2: Convert to fraction form
    1,185.36/1,774.93 = 836.81/x
  3. Step 3: Cross multiply
    1,185.36x = 1,774.93 × 836.81
  4. Step 4: Simplify right side
    1,185.36x = 1,485,279.17
  5. Step 5: Solve for x
    x = 1,485,279.17/1,185.36
  6. Step 6: Final answer
    x = 1,253.02

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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.