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Finding the Fourth Proportional to 739.08, 1,106.30 and 541

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Solution

The fourth proportional to 739.08, 1,106.30 and 541 is: 809.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.08 : 1,106.30 = 541 : x
  2. Step 2: Convert to fraction form
    739.08/1,106.30 = 541/x
  3. Step 3: Cross multiply
    739.08x = 1,106.30 × 541
  4. Step 4: Simplify right side
    739.08x = 598,508.30
  5. Step 5: Solve for x
    x = 598,508.30/739.08
  6. Step 6: Final answer
    x = 809.80

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Why These Related Problems?

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