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Finding the Fourth Proportional to 1,406.70, 2,108.90 and 713.68

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Solution

The fourth proportional to 1,406.70, 2,108.90 and 713.68 is: 1,069.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.70 : 2,108.90 = 713.68 : x
  2. Step 2: Convert to fraction form
    1,406.70/2,108.90 = 713.68/x
  3. Step 3: Cross multiply
    1,406.70x = 2,108.90 × 713.68
  4. Step 4: Simplify right side
    1,406.70x = 1,505,076.26
  5. Step 5: Solve for x
    x = 1,505,076.26/1,406.70
  6. Step 6: Final answer
    x = 1,069.93

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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.