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Finding the Fourth Proportional to 811.83, 1,210.50 and 797.25

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Solution

The fourth proportional to 811.83, 1,210.50 and 797.25 is: 1,188.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.83 : 1,210.50 = 797.25 : x
  2. Step 2: Convert to fraction form
    811.83/1,210.50 = 797.25/x
  3. Step 3: Cross multiply
    811.83x = 1,210.50 × 797.25
  4. Step 4: Simplify right side
    811.83x = 965,071.13
  5. Step 5: Solve for x
    x = 965,071.13/811.83
  6. Step 6: Final answer
    x = 1,188.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.