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Finding the Fourth Proportional to 748.01, 1,032.28 and 416.46

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Solution

The fourth proportional to 748.01, 1,032.28 and 416.46 is: 574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.01 : 1,032.28 = 416.46 : x
  2. Step 2: Convert to fraction form
    748.01/1,032.28 = 416.46/x
  3. Step 3: Cross multiply
    748.01x = 1,032.28 × 416.46
  4. Step 4: Simplify right side
    748.01x = 429,903.33
  5. Step 5: Solve for x
    x = 429,903.33/748.01
  6. Step 6: Final answer
    x = 574.73

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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.