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Finding the Fourth Proportional to 801.40, 1,106.26 and 718.36

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Solution

The fourth proportional to 801.40, 1,106.26 and 718.36 is: 991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    801.40 : 1,106.26 = 718.36 : x
  2. Step 2: Convert to fraction form
    801.40/1,106.26 = 718.36/x
  3. Step 3: Cross multiply
    801.40x = 1,106.26 × 718.36
  4. Step 4: Simplify right side
    801.40x = 794,692.93
  5. Step 5: Solve for x
    x = 794,692.93/801.40
  6. Step 6: Final answer
    x = 991.63

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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.