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Finding the Fourth Proportional to 1,405.22, 2,107.31 and 468

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Solution

The fourth proportional to 1,405.22, 2,107.31 and 468 is: 701.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.22 : 2,107.31 = 468 : x
  2. Step 2: Convert to fraction form
    1,405.22/2,107.31 = 468/x
  3. Step 3: Cross multiply
    1,405.22x = 2,107.31 × 468
  4. Step 4: Simplify right side
    1,405.22x = 986,218.74
  5. Step 5: Solve for x
    x = 986,218.74/1,405.22
  6. Step 6: Final answer
    x = 701.83

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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.