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Finding the Fourth Proportional to 1,171.19, 1,755.27 and 477.05

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Solution

The fourth proportional to 1,171.19, 1,755.27 and 477.05 is: 714.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.19 : 1,755.27 = 477.05 : x
  2. Step 2: Convert to fraction form
    1,171.19/1,755.27 = 477.05/x
  3. Step 3: Cross multiply
    1,171.19x = 1,755.27 × 477.05
  4. Step 4: Simplify right side
    1,171.19x = 837,355.94
  5. Step 5: Solve for x
    x = 837,355.94/1,171.19
  6. Step 6: Final answer
    x = 714.96

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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.