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Finding the Fourth Proportional to 1,186.33, 1,779.82 and 364.59

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Solution

The fourth proportional to 1,186.33, 1,779.82 and 364.59 is: 546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.33 : 1,779.82 = 364.59 : x
  2. Step 2: Convert to fraction form
    1,186.33/1,779.82 = 364.59/x
  3. Step 3: Cross multiply
    1,186.33x = 1,779.82 × 364.59
  4. Step 4: Simplify right side
    1,186.33x = 648,904.57
  5. Step 5: Solve for x
    x = 648,904.57/1,186.33
  6. Step 6: Final answer
    x = 546.98

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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.