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Finding the Fourth Proportional to 1,219.08, 1,827.77 and 525.54

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Solution

The fourth proportional to 1,219.08, 1,827.77 and 525.54 is: 787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.08 : 1,827.77 = 525.54 : x
  2. Step 2: Convert to fraction form
    1,219.08/1,827.77 = 525.54/x
  3. Step 3: Cross multiply
    1,219.08x = 1,827.77 × 525.54
  4. Step 4: Simplify right side
    1,219.08x = 960,554.48
  5. Step 5: Solve for x
    x = 960,554.48/1,219.08
  6. Step 6: Final answer
    x = 787.94

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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.