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Finding the Fourth Proportional to 1,186.35, 1,779.54 and 364.62

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Solution

The fourth proportional to 1,186.35, 1,779.54 and 364.62 is: 546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.35 : 1,779.54 = 364.62 : x
  2. Step 2: Convert to fraction form
    1,186.35/1,779.54 = 364.62/x
  3. Step 3: Cross multiply
    1,186.35x = 1,779.54 × 364.62
  4. Step 4: Simplify right side
    1,186.35x = 648,855.87
  5. Step 5: Solve for x
    x = 648,855.87/1,186.35
  6. Step 6: Final answer
    x = 546.93

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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.