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Finding the Fourth Proportional to 1,032.44, 1,548.66 and 252.44

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Solution

The fourth proportional to 1,032.44, 1,548.66 and 252.44 is: 378.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.44 : 1,548.66 = 252.44 : x
  2. Step 2: Convert to fraction form
    1,032.44/1,548.66 = 252.44/x
  3. Step 3: Cross multiply
    1,032.44x = 1,548.66 × 252.44
  4. Step 4: Simplify right side
    1,032.44x = 390,935.99
  5. Step 5: Solve for x
    x = 390,935.99/1,032.44
  6. Step 6: Final answer
    x = 378.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.