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Finding the Fourth Proportional to 1,770.33, 2,654.96 and 471.63

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Solution

The fourth proportional to 1,770.33, 2,654.96 and 471.63 is: 707.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.33 : 2,654.96 = 471.63 : x
  2. Step 2: Convert to fraction form
    1,770.33/2,654.96 = 471.63/x
  3. Step 3: Cross multiply
    1,770.33x = 2,654.96 × 471.63
  4. Step 4: Simplify right side
    1,770.33x = 1,252,156.43
  5. Step 5: Solve for x
    x = 1,252,156.43/1,770.33
  6. Step 6: Final answer
    x = 707.30

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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.