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Finding the Fourth Proportional to 810.76, 1,118.82 and 577.96

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Solution

The fourth proportional to 810.76, 1,118.82 and 577.96 is: 797.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.76 : 1,118.82 = 577.96 : x
  2. Step 2: Convert to fraction form
    810.76/1,118.82 = 577.96/x
  3. Step 3: Cross multiply
    810.76x = 1,118.82 × 577.96
  4. Step 4: Simplify right side
    810.76x = 646,633.21
  5. Step 5: Solve for x
    x = 646,633.21/810.76
  6. Step 6: Final answer
    x = 797.56

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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.