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Finding the Fourth Proportional to 1,266.87, 1,748.23 and 735.42

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Solution

The fourth proportional to 1,266.87, 1,748.23 and 735.42 is: 1,014.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,266.87 : 1,748.23 = 735.42 : x
  2. Step 2: Convert to fraction form
    1,266.87/1,748.23 = 735.42/x
  3. Step 3: Cross multiply
    1,266.87x = 1,748.23 × 735.42
  4. Step 4: Simplify right side
    1,266.87x = 1,285,681.47
  5. Step 5: Solve for x
    x = 1,285,681.47/1,266.87
  6. Step 6: Final answer
    x = 1,014.85

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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.