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Finding the Fourth Proportional to 860.52, 1,186.50 and 561.96

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Solution

The fourth proportional to 860.52, 1,186.50 and 561.96 is: 774.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.52 : 1,186.50 = 561.96 : x
  2. Step 2: Convert to fraction form
    860.52/1,186.50 = 561.96/x
  3. Step 3: Cross multiply
    860.52x = 1,186.50 × 561.96
  4. Step 4: Simplify right side
    860.52x = 666,765.54
  5. Step 5: Solve for x
    x = 666,765.54/860.52
  6. Step 6: Final answer
    x = 774.84

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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.