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Finding the Fourth Proportional to 1,154.56, 1,731.72 and 385

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Solution

The fourth proportional to 1,154.56, 1,731.72 and 385 is: 577.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.56 : 1,731.72 = 385 : x
  2. Step 2: Convert to fraction form
    1,154.56/1,731.72 = 385/x
  3. Step 3: Cross multiply
    1,154.56x = 1,731.72 × 385
  4. Step 4: Simplify right side
    1,154.56x = 666,712.20
  5. Step 5: Solve for x
    x = 666,712.20/1,154.56
  6. Step 6: Final answer
    x = 577.46

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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.