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Finding the Fourth Proportional to 1,191.47, 1,786.16 and 461.54

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Solution

The fourth proportional to 1,191.47, 1,786.16 and 461.54 is: 691.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.47 : 1,786.16 = 461.54 : x
  2. Step 2: Convert to fraction form
    1,191.47/1,786.16 = 461.54/x
  3. Step 3: Cross multiply
    1,191.47x = 1,786.16 × 461.54
  4. Step 4: Simplify right side
    1,191.47x = 824,373.05
  5. Step 5: Solve for x
    x = 824,373.05/1,191.47
  6. Step 6: Final answer
    x = 691.90

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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.