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Finding the Fourth Proportional to 1,186.12, 1,779.06 and 320.52

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Solution

The fourth proportional to 1,186.12, 1,779.06 and 320.52 is: 480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.12 : 1,779.06 = 320.52 : x
  2. Step 2: Convert to fraction form
    1,186.12/1,779.06 = 320.52/x
  3. Step 3: Cross multiply
    1,186.12x = 1,779.06 × 320.52
  4. Step 4: Simplify right side
    1,186.12x = 570,224.31
  5. Step 5: Solve for x
    x = 570,224.31/1,186.12
  6. Step 6: Final answer
    x = 480.75

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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.