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Finding the Fourth Proportional to 1,186.72, 1,780.36 and 364.92

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Solution

The fourth proportional to 1,186.72, 1,780.36 and 364.92 is: 547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.72 : 1,780.36 = 364.92 : x
  2. Step 2: Convert to fraction form
    1,186.72/1,780.36 = 364.92/x
  3. Step 3: Cross multiply
    1,186.72x = 1,780.36 × 364.92
  4. Step 4: Simplify right side
    1,186.72x = 649,688.97
  5. Step 5: Solve for x
    x = 649,688.97/1,186.72
  6. Step 6: Final answer
    x = 547.47

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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.