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Finding the Fourth Proportional to 790.83, 1,091.21 and 495.86

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Solution

The fourth proportional to 790.83, 1,091.21 and 495.86 is: 684.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.83 : 1,091.21 = 495.86 : x
  2. Step 2: Convert to fraction form
    790.83/1,091.21 = 495.86/x
  3. Step 3: Cross multiply
    790.83x = 1,091.21 × 495.86
  4. Step 4: Simplify right side
    790.83x = 541,079.46
  5. Step 5: Solve for x
    x = 541,079.46/790.83
  6. Step 6: Final answer
    x = 684.19

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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.