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Finding the Fourth Proportional to 772.83, 1,158.75 and 656.82

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Solution

The fourth proportional to 772.83, 1,158.75 and 656.82 is: 984.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.83 : 1,158.75 = 656.82 : x
  2. Step 2: Convert to fraction form
    772.83/1,158.75 = 656.82/x
  3. Step 3: Cross multiply
    772.83x = 1,158.75 × 656.82
  4. Step 4: Simplify right side
    772.83x = 761,090.18
  5. Step 5: Solve for x
    x = 761,090.18/772.83
  6. Step 6: Final answer
    x = 984.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.