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Finding the Fourth Proportional to 1,186.84, 1,780.58 and 365.09

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Solution

The fourth proportional to 1,186.84, 1,780.58 and 365.09 is: 547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.84 : 1,780.58 = 365.09 : x
  2. Step 2: Convert to fraction form
    1,186.84/1,780.58 = 365.09/x
  3. Step 3: Cross multiply
    1,186.84x = 1,780.58 × 365.09
  4. Step 4: Simplify right side
    1,186.84x = 650,071.95
  5. Step 5: Solve for x
    x = 650,071.95/1,186.84
  6. Step 6: Final answer
    x = 547.73

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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.