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Finding the Fourth Proportional to 860.86, 1,188.02 and 487.82

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Solution

The fourth proportional to 860.86, 1,188.02 and 487.82 is: 673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.86 : 1,188.02 = 487.82 : x
  2. Step 2: Convert to fraction form
    860.86/1,188.02 = 487.82/x
  3. Step 3: Cross multiply
    860.86x = 1,188.02 × 487.82
  4. Step 4: Simplify right side
    860.86x = 579,539.92
  5. Step 5: Solve for x
    x = 579,539.92/860.86
  6. Step 6: Final answer
    x = 673.21

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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.