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Finding the Fourth Proportional to 860.95, 1,289.49 and 494.83

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Solution

The fourth proportional to 860.95, 1,289.49 and 494.83 is: 741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.95 : 1,289.49 = 494.83 : x
  2. Step 2: Convert to fraction form
    860.95/1,289.49 = 494.83/x
  3. Step 3: Cross multiply
    860.95x = 1,289.49 × 494.83
  4. Step 4: Simplify right side
    860.95x = 638,078.34
  5. Step 5: Solve for x
    x = 638,078.34/860.95
  6. Step 6: Final answer
    x = 741.13

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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.