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Finding the Fourth Proportional to 880.68, 1,208.64 and 797.61

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Solution

The fourth proportional to 880.68, 1,208.64 and 797.61 is: 1,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.68 : 1,208.64 = 797.61 : x
  2. Step 2: Convert to fraction form
    880.68/1,208.64 = 797.61/x
  3. Step 3: Cross multiply
    880.68x = 1,208.64 × 797.61
  4. Step 4: Simplify right side
    880.68x = 964,023.35
  5. Step 5: Solve for x
    x = 964,023.35/880.68
  6. Step 6: Final answer
    x = 1,094.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.