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Finding the Fourth Proportional to 1,769, 2,654.64 and 743

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Solution

The fourth proportional to 1,769, 2,654.64 and 743 is: 1,114.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769 : 2,654.64 = 743 : x
  2. Step 2: Convert to fraction form
    1,769/2,654.64 = 743/x
  3. Step 3: Cross multiply
    1,769x = 2,654.64 × 743
  4. Step 4: Simplify right side
    1,769x = 1,972,397.52
  5. Step 5: Solve for x
    x = 1,972,397.52/1,769
  6. Step 6: Final answer
    x = 1,114.98

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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.