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Finding the Fourth Proportional to 748.02, 1,032.14 and 416.42

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Solution

The fourth proportional to 748.02, 1,032.14 and 416.42 is: 574.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.02 : 1,032.14 = 416.42 : x
  2. Step 2: Convert to fraction form
    748.02/1,032.14 = 416.42/x
  3. Step 3: Cross multiply
    748.02x = 1,032.14 × 416.42
  4. Step 4: Simplify right side
    748.02x = 429,796.50
  5. Step 5: Solve for x
    x = 429,796.50/748.02
  6. Step 6: Final answer
    x = 574.58

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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.