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Finding the Fourth Proportional to 1,192.68, 1,787.58 and 541.98

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Solution

The fourth proportional to 1,192.68, 1,787.58 and 541.98 is: 812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.68 : 1,787.58 = 541.98 : x
  2. Step 2: Convert to fraction form
    1,192.68/1,787.58 = 541.98/x
  3. Step 3: Cross multiply
    1,192.68x = 1,787.58 × 541.98
  4. Step 4: Simplify right side
    1,192.68x = 968,832.61
  5. Step 5: Solve for x
    x = 968,832.61/1,192.68
  6. Step 6: Final answer
    x = 812.32

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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.