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Finding the Fourth Proportional to 790.66, 1,090.83 and 496

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Solution

The fourth proportional to 790.66, 1,090.83 and 496 is: 684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.66 : 1,090.83 = 496 : x
  2. Step 2: Convert to fraction form
    790.66/1,090.83 = 496/x
  3. Step 3: Cross multiply
    790.66x = 1,090.83 × 496
  4. Step 4: Simplify right side
    790.66x = 541,051.68
  5. Step 5: Solve for x
    x = 541,051.68/790.66
  6. Step 6: Final answer
    x = 684.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.