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Finding the Fourth Proportional to 1,766.86, 2,650.33 and 842.51

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Solution

The fourth proportional to 1,766.86, 2,650.33 and 842.51 is: 1,263.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766.86 : 2,650.33 = 842.51 : x
  2. Step 2: Convert to fraction form
    1,766.86/2,650.33 = 842.51/x
  3. Step 3: Cross multiply
    1,766.86x = 2,650.33 × 842.51
  4. Step 4: Simplify right side
    1,766.86x = 2,232,929.53
  5. Step 5: Solve for x
    x = 2,232,929.53/1,766.86
  6. Step 6: Final answer
    x = 1,263.78

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1.5x scale

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.