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Finding the Fourth Proportional to 860.12, 1,288.58 and 493.80

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Solution

The fourth proportional to 860.12, 1,288.58 and 493.80 is: 739.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.12 : 1,288.58 = 493.80 : x
  2. Step 2: Convert to fraction form
    860.12/1,288.58 = 493.80/x
  3. Step 3: Cross multiply
    860.12x = 1,288.58 × 493.80
  4. Step 4: Simplify right side
    860.12x = 636,293.50
  5. Step 5: Solve for x
    x = 636,293.50/860.12
  6. Step 6: Final answer
    x = 739.77

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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.