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Finding the Fourth Proportional to 860.94, 1,289.78 and 494.62

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Solution

The fourth proportional to 860.94, 1,289.78 and 494.62 is: 740.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.94 : 1,289.78 = 494.62 : x
  2. Step 2: Convert to fraction form
    860.94/1,289.78 = 494.62/x
  3. Step 3: Cross multiply
    860.94x = 1,289.78 × 494.62
  4. Step 4: Simplify right side
    860.94x = 637,950.98
  5. Step 5: Solve for x
    x = 637,950.98/860.94
  6. Step 6: Final answer
    x = 740.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.