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Finding the Fourth Proportional to 1,186.42, 1,779.54 and 455.80

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Solution

The fourth proportional to 1,186.42, 1,779.54 and 455.80 is: 683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.42 : 1,779.54 = 455.80 : x
  2. Step 2: Convert to fraction form
    1,186.42/1,779.54 = 455.80/x
  3. Step 3: Cross multiply
    1,186.42x = 1,779.54 × 455.80
  4. Step 4: Simplify right side
    1,186.42x = 811,114.33
  5. Step 5: Solve for x
    x = 811,114.33/1,186.42
  6. Step 6: Final answer
    x = 683.67

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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.