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Finding the Fourth Proportional to 1,186.57, 1,780.77 and 666.71

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Solution

The fourth proportional to 1,186.57, 1,780.77 and 666.71 is: 1,000.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.57 : 1,780.77 = 666.71 : x
  2. Step 2: Convert to fraction form
    1,186.57/1,780.77 = 666.71/x
  3. Step 3: Cross multiply
    1,186.57x = 1,780.77 × 666.71
  4. Step 4: Simplify right side
    1,186.57x = 1,187,257.44
  5. Step 5: Solve for x
    x = 1,187,257.44/1,186.57
  6. Step 6: Final answer
    x = 1,000.58

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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.