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Finding the Fourth Proportional to 1,186.74, 1,780.34 and 456.26

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Solution

The fourth proportional to 1,186.74, 1,780.34 and 456.26 is: 684.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.74 : 1,780.34 = 456.26 : x
  2. Step 2: Convert to fraction form
    1,186.74/1,780.34 = 456.26/x
  3. Step 3: Cross multiply
    1,186.74x = 1,780.34 × 456.26
  4. Step 4: Simplify right side
    1,186.74x = 812,286.75
  5. Step 5: Solve for x
    x = 812,286.75/1,186.74
  6. Step 6: Final answer
    x = 684.47

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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.