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Finding the Fourth Proportional to 1,770.69, 2,655.99 and 472.17

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Solution

The fourth proportional to 1,770.69, 2,655.99 and 472.17 is: 708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.69 : 2,655.99 = 472.17 : x
  2. Step 2: Convert to fraction form
    1,770.69/2,655.99 = 472.17/x
  3. Step 3: Cross multiply
    1,770.69x = 2,655.99 × 472.17
  4. Step 4: Simplify right side
    1,770.69x = 1,254,078.80
  5. Step 5: Solve for x
    x = 1,254,078.80/1,770.69
  6. Step 6: Final answer
    x = 708.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.