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Finding the Fourth Proportional to 1,151.32, 1,727.34 and 382.36

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Solution

The fourth proportional to 1,151.32, 1,727.34 and 382.36 is: 573.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.32 : 1,727.34 = 382.36 : x
  2. Step 2: Convert to fraction form
    1,151.32/1,727.34 = 382.36/x
  3. Step 3: Cross multiply
    1,151.32x = 1,727.34 × 382.36
  4. Step 4: Simplify right side
    1,151.32x = 660,465.72
  5. Step 5: Solve for x
    x = 660,465.72/1,151.32
  6. Step 6: Final answer
    x = 573.66

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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.