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Finding the Fourth Proportional to 1,186.62, 1,780.19 and 364.88

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Solution

The fourth proportional to 1,186.62, 1,780.19 and 364.88 is: 547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.62 : 1,780.19 = 364.88 : x
  2. Step 2: Convert to fraction form
    1,186.62/1,780.19 = 364.88/x
  3. Step 3: Cross multiply
    1,186.62x = 1,780.19 × 364.88
  4. Step 4: Simplify right side
    1,186.62x = 649,545.00
  5. Step 5: Solve for x
    x = 649,545.00/1,186.62
  6. Step 6: Final answer
    x = 547.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.