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Finding the Fourth Proportional to 790.68, 1,090.80 and 558.12

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Solution

The fourth proportional to 790.68, 1,090.80 and 558.12 is: 769.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.68 : 1,090.80 = 558.12 : x
  2. Step 2: Convert to fraction form
    790.68/1,090.80 = 558.12/x
  3. Step 3: Cross multiply
    790.68x = 1,090.80 × 558.12
  4. Step 4: Simplify right side
    790.68x = 608,797.30
  5. Step 5: Solve for x
    x = 608,797.30/790.68
  6. Step 6: Final answer
    x = 769.97

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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.