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Finding the Fourth Proportional to 796.18, 1,185.63 and 775.70

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Solution

The fourth proportional to 796.18, 1,185.63 and 775.70 is: 1,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.18 : 1,185.63 = 775.70 : x
  2. Step 2: Convert to fraction form
    796.18/1,185.63 = 775.70/x
  3. Step 3: Cross multiply
    796.18x = 1,185.63 × 775.70
  4. Step 4: Simplify right side
    796.18x = 919,693.19
  5. Step 5: Solve for x
    x = 919,693.19/796.18
  6. Step 6: Final answer
    x = 1,155.13

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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.