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Finding the Fourth Proportional to 1,154.45, 1,731.78 and 374.15

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Solution

The fourth proportional to 1,154.45, 1,731.78 and 374.15 is: 561.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.45 : 1,731.78 = 374.15 : x
  2. Step 2: Convert to fraction form
    1,154.45/1,731.78 = 374.15/x
  3. Step 3: Cross multiply
    1,154.45x = 1,731.78 × 374.15
  4. Step 4: Simplify right side
    1,154.45x = 647,944.44
  5. Step 5: Solve for x
    x = 647,944.44/1,154.45
  6. Step 6: Final answer
    x = 561.26

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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.