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Finding the Fourth Proportional to 1,577.29, 2,366.21 and 481.45

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Solution

The fourth proportional to 1,577.29, 2,366.21 and 481.45 is: 722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,577.29 : 2,366.21 = 481.45 : x
  2. Step 2: Convert to fraction form
    1,577.29/2,366.21 = 481.45/x
  3. Step 3: Cross multiply
    1,577.29x = 2,366.21 × 481.45
  4. Step 4: Simplify right side
    1,577.29x = 1,139,211.80
  5. Step 5: Solve for x
    x = 1,139,211.80/1,577.29
  6. Step 6: Final answer
    x = 722.26

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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.