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Finding the Fourth Proportional to 1,186.20, 1,780.22 and 537.40

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Solution

The fourth proportional to 1,186.20, 1,780.22 and 537.40 is: 806.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.20 : 1,780.22 = 537.40 : x
  2. Step 2: Convert to fraction form
    1,186.20/1,780.22 = 537.40/x
  3. Step 3: Cross multiply
    1,186.20x = 1,780.22 × 537.40
  4. Step 4: Simplify right side
    1,186.20x = 956,690.23
  5. Step 5: Solve for x
    x = 956,690.23/1,186.20
  6. Step 6: Final answer
    x = 806.52

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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.