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Finding the Fourth Proportional to 1,675.33, 2,512.96 and 750.71

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Solution

The fourth proportional to 1,675.33, 2,512.96 and 750.71 is: 1,126.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,675.33 : 2,512.96 = 750.71 : x
  2. Step 2: Convert to fraction form
    1,675.33/2,512.96 = 750.71/x
  3. Step 3: Cross multiply
    1,675.33x = 2,512.96 × 750.71
  4. Step 4: Simplify right side
    1,675.33x = 1,886,504.20
  5. Step 5: Solve for x
    x = 1,886,504.20/1,675.33
  6. Step 6: Final answer
    x = 1,126.05

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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.