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Finding the Fourth Proportional to 1,032.26, 1,548.07 and 447.12

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Solution

The fourth proportional to 1,032.26, 1,548.07 and 447.12 is: 670.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.26 : 1,548.07 = 447.12 : x
  2. Step 2: Convert to fraction form
    1,032.26/1,548.07 = 447.12/x
  3. Step 3: Cross multiply
    1,032.26x = 1,548.07 × 447.12
  4. Step 4: Simplify right side
    1,032.26x = 692,170.82
  5. Step 5: Solve for x
    x = 692,170.82/1,032.26
  6. Step 6: Final answer
    x = 670.54

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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.