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Finding the Fourth Proportional to 1,405.13, 2,108.00 and 539.44

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Solution

The fourth proportional to 1,405.13, 2,108.00 and 539.44 is: 809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.13 : 2,108.00 = 539.44 : x
  2. Step 2: Convert to fraction form
    1,405.13/2,108.00 = 539.44/x
  3. Step 3: Cross multiply
    1,405.13x = 2,108.00 × 539.44
  4. Step 4: Simplify right side
    1,405.13x = 1,137,133.58
  5. Step 5: Solve for x
    x = 1,137,133.58/1,405.13
  6. Step 6: Final answer
    x = 809.27

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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.