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Finding the Fourth Proportional to 1,205.76, 1,664.64 and 792.96

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Solution

The fourth proportional to 1,205.76, 1,664.64 and 792.96 is: 1,094.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205.76 : 1,664.64 = 792.96 : x
  2. Step 2: Convert to fraction form
    1,205.76/1,664.64 = 792.96/x
  3. Step 3: Cross multiply
    1,205.76x = 1,664.64 × 792.96
  4. Step 4: Simplify right side
    1,205.76x = 1,319,992.93
  5. Step 5: Solve for x
    x = 1,319,992.93/1,205.76
  6. Step 6: Final answer
    x = 1,094.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.