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Finding the Fourth Proportional to 1,186.78, 1,780.23 and 456.43

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Solution

The fourth proportional to 1,186.78, 1,780.23 and 456.43 is: 684.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.78 : 1,780.23 = 456.43 : x
  2. Step 2: Convert to fraction form
    1,186.78/1,780.23 = 456.43/x
  3. Step 3: Cross multiply
    1,186.78x = 1,780.23 × 456.43
  4. Step 4: Simplify right side
    1,186.78x = 812,550.38
  5. Step 5: Solve for x
    x = 812,550.38/1,186.78
  6. Step 6: Final answer
    x = 684.67

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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.