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Finding the Fourth Proportional to 1,186.29, 1,779.44 and 320.67

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Solution

The fourth proportional to 1,186.29, 1,779.44 and 320.67 is: 481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.29 : 1,779.44 = 320.67 : x
  2. Step 2: Convert to fraction form
    1,186.29/1,779.44 = 320.67/x
  3. Step 3: Cross multiply
    1,186.29x = 1,779.44 × 320.67
  4. Step 4: Simplify right side
    1,186.29x = 570,613.02
  5. Step 5: Solve for x
    x = 570,613.02/1,186.29
  6. Step 6: Final answer
    x = 481.01

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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.