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Finding the Fourth Proportional to 1,155.11, 1,732.46 and 375.00

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Solution

The fourth proportional to 1,155.11, 1,732.46 and 375.00 is: 562.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,155.11 : 1,732.46 = 375.00 : x
  2. Step 2: Convert to fraction form
    1,155.11/1,732.46 = 375.00/x
  3. Step 3: Cross multiply
    1,155.11x = 1,732.46 × 375.00
  4. Step 4: Simplify right side
    1,155.11x = 649,670.95
  5. Step 5: Solve for x
    x = 649,670.95/1,155.11
  6. Step 6: Final answer
    x = 562.43

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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.