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Finding the Fourth Proportional to 748.44, 1,032.42 and 512.28

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Solution

The fourth proportional to 748.44, 1,032.42 and 512.28 is: 706.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.44 : 1,032.42 = 512.28 : x
  2. Step 2: Convert to fraction form
    748.44/1,032.42 = 512.28/x
  3. Step 3: Cross multiply
    748.44x = 1,032.42 × 512.28
  4. Step 4: Simplify right side
    748.44x = 528,888.12
  5. Step 5: Solve for x
    x = 528,888.12/748.44
  6. Step 6: Final answer
    x = 706.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.