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Finding the Fourth Proportional to 1,122.77, 1,684.76 and 1,081.86

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Solution

The fourth proportional to 1,122.77, 1,684.76 and 1,081.86 is: 1,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.77 : 1,684.76 = 1,081.86 : x
  2. Step 2: Convert to fraction form
    1,122.77/1,684.76 = 1,081.86/x
  3. Step 3: Cross multiply
    1,122.77x = 1,684.76 × 1,081.86
  4. Step 4: Simplify right side
    1,122.77x = 1,822,669.04
  5. Step 5: Solve for x
    x = 1,822,669.04/1,122.77
  6. Step 6: Final answer
    x = 1,623.38

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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.