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Finding the Fourth Proportional to 1,032.41, 1,548.78 and 512.44

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Solution

The fourth proportional to 1,032.41, 1,548.78 and 512.44 is: 768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.41 : 1,548.78 = 512.44 : x
  2. Step 2: Convert to fraction form
    1,032.41/1,548.78 = 512.44/x
  3. Step 3: Cross multiply
    1,032.41x = 1,548.78 × 512.44
  4. Step 4: Simplify right side
    1,032.41x = 793,656.82
  5. Step 5: Solve for x
    x = 793,656.82/1,032.41
  6. Step 6: Final answer
    x = 768.74

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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.