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Finding the Fourth Proportional to 1,770.06, 2,654.82 and 471.53

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Solution

The fourth proportional to 1,770.06, 2,654.82 and 471.53 is: 707.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.06 : 2,654.82 = 471.53 : x
  2. Step 2: Convert to fraction form
    1,770.06/2,654.82 = 471.53/x
  3. Step 3: Cross multiply
    1,770.06x = 2,654.82 × 471.53
  4. Step 4: Simplify right side
    1,770.06x = 1,251,814.00
  5. Step 5: Solve for x
    x = 1,251,814.00/1,770.06
  6. Step 6: Final answer
    x = 707.22

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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.