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Finding the Fourth Proportional to 860.65, 1,186.31 and 580.79

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Solution

The fourth proportional to 860.65, 1,186.31 and 580.79 is: 800.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.65 : 1,186.31 = 580.79 : x
  2. Step 2: Convert to fraction form
    860.65/1,186.31 = 580.79/x
  3. Step 3: Cross multiply
    860.65x = 1,186.31 × 580.79
  4. Step 4: Simplify right side
    860.65x = 688,996.98
  5. Step 5: Solve for x
    x = 688,996.98/860.65
  6. Step 6: Final answer
    x = 800.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.