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Finding the Fourth Proportional to 1,155.16, 1,732.31 and 333.15

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Solution

The fourth proportional to 1,155.16, 1,732.31 and 333.15 is: 499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.16 : 1,732.31 = 333.15 : x
  2. Step 2: Convert to fraction form
    1,155.16/1,732.31 = 333.15/x
  3. Step 3: Cross multiply
    1,155.16x = 1,732.31 × 333.15
  4. Step 4: Simplify right side
    1,155.16x = 577,119.08
  5. Step 5: Solve for x
    x = 577,119.08/1,155.16
  6. Step 6: Final answer
    x = 499.60

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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.