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Finding the Fourth Proportional to 797.16, 1,100.26 and 587.64

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Solution

The fourth proportional to 797.16, 1,100.26 and 587.64 is: 811.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.16 : 1,100.26 = 587.64 : x
  2. Step 2: Convert to fraction form
    797.16/1,100.26 = 587.64/x
  3. Step 3: Cross multiply
    797.16x = 1,100.26 × 587.64
  4. Step 4: Simplify right side
    797.16x = 646,556.79
  5. Step 5: Solve for x
    x = 646,556.79/797.16
  6. Step 6: Final answer
    x = 811.08

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