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Finding the Fourth Proportional to 1,769.54, 2,654.35 and 471

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Solution

The fourth proportional to 1,769.54, 2,654.35 and 471 is: 706.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.54 : 2,654.35 = 471 : x
  2. Step 2: Convert to fraction form
    1,769.54/2,654.35 = 471/x
  3. Step 3: Cross multiply
    1,769.54x = 2,654.35 × 471
  4. Step 4: Simplify right side
    1,769.54x = 1,250,197.67
  5. Step 5: Solve for x
    x = 1,250,197.67/1,769.54
  6. Step 6: Final answer
    x = 706.51

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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.