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Finding the Fourth Proportional to 742.16, 1,024.14 and 427.48

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Solution

The fourth proportional to 742.16, 1,024.14 and 427.48 is: 589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.16 : 1,024.14 = 427.48 : x
  2. Step 2: Convert to fraction form
    742.16/1,024.14 = 427.48/x
  3. Step 3: Cross multiply
    742.16x = 1,024.14 × 427.48
  4. Step 4: Simplify right side
    742.16x = 437,799.37
  5. Step 5: Solve for x
    x = 437,799.37/742.16
  6. Step 6: Final answer
    x = 589.90

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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.