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Finding the Fourth Proportional to 1,266.85, 1,748.34 and 735.90

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Solution

The fourth proportional to 1,266.85, 1,748.34 and 735.90 is: 1,015.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.85 : 1,748.34 = 735.90 : x
  2. Step 2: Convert to fraction form
    1,266.85/1,748.34 = 735.90/x
  3. Step 3: Cross multiply
    1,266.85x = 1,748.34 × 735.90
  4. Step 4: Simplify right side
    1,266.85x = 1,286,603.41
  5. Step 5: Solve for x
    x = 1,286,603.41/1,266.85
  6. Step 6: Final answer
    x = 1,015.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.