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Finding the Fourth Proportional to 1,506.92, 2,260.94 and 685.85

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Solution

The fourth proportional to 1,506.92, 2,260.94 and 685.85 is: 1,029.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,506.92 : 2,260.94 = 685.85 : x
  2. Step 2: Convert to fraction form
    1,506.92/2,260.94 = 685.85/x
  3. Step 3: Cross multiply
    1,506.92x = 2,260.94 × 685.85
  4. Step 4: Simplify right side
    1,506.92x = 1,550,650.97
  5. Step 5: Solve for x
    x = 1,550,650.97/1,506.92
  6. Step 6: Final answer
    x = 1,029.02

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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.