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Finding the Fourth Proportional to 1,154.79, 1,731.11 and 385.11

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Solution

The fourth proportional to 1,154.79, 1,731.11 and 385.11 is: 577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.79 : 1,731.11 = 385.11 : x
  2. Step 2: Convert to fraction form
    1,154.79/1,731.11 = 385.11/x
  3. Step 3: Cross multiply
    1,154.79x = 1,731.11 × 385.11
  4. Step 4: Simplify right side
    1,154.79x = 666,665.85
  5. Step 5: Solve for x
    x = 666,665.85/1,154.79
  6. Step 6: Final answer
    x = 577.30

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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.