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Finding the Fourth Proportional to 1,185.66, 1,774.04 and 821.16

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Solution

The fourth proportional to 1,185.66, 1,774.04 and 821.16 is: 1,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.66 : 1,774.04 = 821.16 : x
  2. Step 2: Convert to fraction form
    1,185.66/1,774.04 = 821.16/x
  3. Step 3: Cross multiply
    1,185.66x = 1,774.04 × 821.16
  4. Step 4: Simplify right side
    1,185.66x = 1,456,766.58
  5. Step 5: Solve for x
    x = 1,456,766.58/1,185.66
  6. Step 6: Final answer
    x = 1,228.65

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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.