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Finding the Fourth Proportional to 860.92, 1,290.78 and 340.54

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Solution

The fourth proportional to 860.92, 1,290.78 and 340.54 is: 510.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.92 : 1,290.78 = 340.54 : x
  2. Step 2: Convert to fraction form
    860.92/1,290.78 = 340.54/x
  3. Step 3: Cross multiply
    860.92x = 1,290.78 × 340.54
  4. Step 4: Simplify right side
    860.92x = 439,562.22
  5. Step 5: Solve for x
    x = 439,562.22/860.92
  6. Step 6: Final answer
    x = 510.57

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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.