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Finding the Fourth Proportional to 1,405.76, 2,108.48 and 636

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Solution

The fourth proportional to 1,405.76, 2,108.48 and 636 is: 953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.76 : 2,108.48 = 636 : x
  2. Step 2: Convert to fraction form
    1,405.76/2,108.48 = 636/x
  3. Step 3: Cross multiply
    1,405.76x = 2,108.48 × 636
  4. Step 4: Simplify right side
    1,405.76x = 1,340,993.28
  5. Step 5: Solve for x
    x = 1,340,993.28/1,405.76
  6. Step 6: Final answer
    x = 953.93

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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.