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Finding the Fourth Proportional to 1,765.40, 2,649.35 and 726.35

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Solution

The fourth proportional to 1,765.40, 2,649.35 and 726.35 is: 1,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.40 : 2,649.35 = 726.35 : x
  2. Step 2: Convert to fraction form
    1,765.40/2,649.35 = 726.35/x
  3. Step 3: Cross multiply
    1,765.40x = 2,649.35 × 726.35
  4. Step 4: Simplify right side
    1,765.40x = 1,924,338.49
  5. Step 5: Solve for x
    x = 1,924,338.49/1,765.40
  6. Step 6: Final answer
    x = 1,090.03

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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.