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Finding the Fourth Proportional to 1,570.14, 2,353.86 and 748.26

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Solution

The fourth proportional to 1,570.14, 2,353.86 and 748.26 is: 1,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.14 : 2,353.86 = 748.26 : x
  2. Step 2: Convert to fraction form
    1,570.14/2,353.86 = 748.26/x
  3. Step 3: Cross multiply
    1,570.14x = 2,353.86 × 748.26
  4. Step 4: Simplify right side
    1,570.14x = 1,761,299.28
  5. Step 5: Solve for x
    x = 1,761,299.28/1,570.14
  6. Step 6: Final answer
    x = 1,121.75

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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.