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Finding the Fourth Proportional to 1,186.33, 1,779.54 and 445.87

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Solution

The fourth proportional to 1,186.33, 1,779.54 and 445.87 is: 668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.33 : 1,779.54 = 445.87 : x
  2. Step 2: Convert to fraction form
    1,186.33/1,779.54 = 445.87/x
  3. Step 3: Cross multiply
    1,186.33x = 1,779.54 × 445.87
  4. Step 4: Simplify right side
    1,186.33x = 793,443.50
  5. Step 5: Solve for x
    x = 793,443.50/1,186.33
  6. Step 6: Final answer
    x = 668.82

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Why These Related Problems?

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