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Finding the Fourth Proportional to 1,406.70, 2,109.02 and 748.14

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Solution

The fourth proportional to 1,406.70, 2,109.02 and 748.14 is: 1,121.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.70 : 2,109.02 = 748.14 : x
  2. Step 2: Convert to fraction form
    1,406.70/2,109.02 = 748.14/x
  3. Step 3: Cross multiply
    1,406.70x = 2,109.02 × 748.14
  4. Step 4: Simplify right side
    1,406.70x = 1,577,842.22
  5. Step 5: Solve for x
    x = 1,577,842.22/1,406.70
  6. Step 6: Final answer
    x = 1,121.66

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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.