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Finding the Fourth Proportional to 1,189, 1,782.12 and 458.20

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Solution

The fourth proportional to 1,189, 1,782.12 and 458.20 is: 686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189 : 1,782.12 = 458.20 : x
  2. Step 2: Convert to fraction form
    1,189/1,782.12 = 458.20/x
  3. Step 3: Cross multiply
    1,189x = 1,782.12 × 458.20
  4. Step 4: Simplify right side
    1,189x = 816,567.38
  5. Step 5: Solve for x
    x = 816,567.38/1,189
  6. Step 6: Final answer
    x = 686.77

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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.