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Finding the Fourth Proportional to 1,182.83, 1,773.36 and 816.57

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Solution

The fourth proportional to 1,182.83, 1,773.36 and 816.57 is: 1,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.83 : 1,773.36 = 816.57 : x
  2. Step 2: Convert to fraction form
    1,182.83/1,773.36 = 816.57/x
  3. Step 3: Cross multiply
    1,182.83x = 1,773.36 × 816.57
  4. Step 4: Simplify right side
    1,182.83x = 1,448,072.58
  5. Step 5: Solve for x
    x = 1,448,072.58/1,182.83
  6. Step 6: Final answer
    x = 1,224.25

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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.