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Finding the Fourth Proportional to 1,405.71, 2,106.41 and 755.79

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Solution

The fourth proportional to 1,405.71, 2,106.41 and 755.79 is: 1,132.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,405.71 : 2,106.41 = 755.79 : x
  2. Step 2: Convert to fraction form
    1,405.71/2,106.41 = 755.79/x
  3. Step 3: Cross multiply
    1,405.71x = 2,106.41 × 755.79
  4. Step 4: Simplify right side
    1,405.71x = 1,591,999.83
  5. Step 5: Solve for x
    x = 1,591,999.83/1,405.71
  6. Step 6: Final answer
    x = 1,132.52

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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.