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Finding the Fourth Proportional to 1,032.54, 1,549.04 and 512.82

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Solution

The fourth proportional to 1,032.54, 1,549.04 and 512.82 is: 769.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,032.54 : 1,549.04 = 512.82 : x
  2. Step 2: Convert to fraction form
    1,032.54/1,549.04 = 512.82/x
  3. Step 3: Cross multiply
    1,032.54x = 1,549.04 × 512.82
  4. Step 4: Simplify right side
    1,032.54x = 794,376.13
  5. Step 5: Solve for x
    x = 794,376.13/1,032.54
  6. Step 6: Final answer
    x = 769.34

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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.