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Finding the Fourth Proportional to 811.40, 1,117.52 and 700.82

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Solution

The fourth proportional to 811.40, 1,117.52 and 700.82 is: 965.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.40 : 1,117.52 = 700.82 : x
  2. Step 2: Convert to fraction form
    811.40/1,117.52 = 700.82/x
  3. Step 3: Cross multiply
    811.40x = 1,117.52 × 700.82
  4. Step 4: Simplify right side
    811.40x = 783,180.37
  5. Step 5: Solve for x
    x = 783,180.37/811.40
  6. Step 6: Final answer
    x = 965.22

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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.