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Finding the Fourth Proportional to 1,265.98, 1,747.23 and 742.02

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Solution

The fourth proportional to 1,265.98, 1,747.23 and 742.02 is: 1,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.98 : 1,747.23 = 742.02 : x
  2. Step 2: Convert to fraction form
    1,265.98/1,747.23 = 742.02/x
  3. Step 3: Cross multiply
    1,265.98x = 1,747.23 × 742.02
  4. Step 4: Simplify right side
    1,265.98x = 1,296,479.60
  5. Step 5: Solve for x
    x = 1,296,479.60/1,265.98
  6. Step 6: Final answer
    x = 1,024.09

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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.