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Finding the Fourth Proportional to 1,186.91, 1,780.37 and 536.88

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Solution

The fourth proportional to 1,186.91, 1,780.37 and 536.88 is: 805.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.91 : 1,780.37 = 536.88 : x
  2. Step 2: Convert to fraction form
    1,186.91/1,780.37 = 536.88/x
  3. Step 3: Cross multiply
    1,186.91x = 1,780.37 × 536.88
  4. Step 4: Simplify right side
    1,186.91x = 955,845.05
  5. Step 5: Solve for x
    x = 955,845.05/1,186.91
  6. Step 6: Final answer
    x = 805.32

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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.