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Finding the Fourth Proportional to 1,218.56, 1,827.27 and 525.20

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Solution

The fourth proportional to 1,218.56, 1,827.27 and 525.20 is: 787.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.56 : 1,827.27 = 525.20 : x
  2. Step 2: Convert to fraction form
    1,218.56/1,827.27 = 525.20/x
  3. Step 3: Cross multiply
    1,218.56x = 1,827.27 × 525.20
  4. Step 4: Simplify right side
    1,218.56x = 959,682.20
  5. Step 5: Solve for x
    x = 959,682.20/1,218.56
  6. Step 6: Final answer
    x = 787.55

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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.