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Finding the Fourth Proportional to 1,186.62, 1,780.74 and 821.76

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Solution

The fourth proportional to 1,186.62, 1,780.74 and 821.76 is: 1,233.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.62 : 1,780.74 = 821.76 : x
  2. Step 2: Convert to fraction form
    1,186.62/1,780.74 = 821.76/x
  3. Step 3: Cross multiply
    1,186.62x = 1,780.74 × 821.76
  4. Step 4: Simplify right side
    1,186.62x = 1,463,340.90
  5. Step 5: Solve for x
    x = 1,463,340.90/1,186.62
  6. Step 6: Final answer
    x = 1,233.20

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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.