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Finding the Fourth Proportional to 1,186.70, 1,780.14 and 365.03

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Solution

The fourth proportional to 1,186.70, 1,780.14 and 365.03 is: 547.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.70 : 1,780.14 = 365.03 : x
  2. Step 2: Convert to fraction form
    1,186.70/1,780.14 = 365.03/x
  3. Step 3: Cross multiply
    1,186.70x = 1,780.14 × 365.03
  4. Step 4: Simplify right side
    1,186.70x = 649,804.50
  5. Step 5: Solve for x
    x = 649,804.50/1,186.70
  6. Step 6: Final answer
    x = 547.57

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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.