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Finding the Fourth Proportional to 799.70, 1,192.64 and 781.07

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Solution

The fourth proportional to 799.70, 1,192.64 and 781.07 is: 1,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.70 : 1,192.64 = 781.07 : x
  2. Step 2: Convert to fraction form
    799.70/1,192.64 = 781.07/x
  3. Step 3: Cross multiply
    799.70x = 1,192.64 × 781.07
  4. Step 4: Simplify right side
    799.70x = 931,525.46
  5. Step 5: Solve for x
    x = 931,525.46/799.70
  6. Step 6: Final answer
    x = 1,164.85

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