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Finding the Fourth Proportional to 742.53, 1,024.36 and 427.72

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Solution

The fourth proportional to 742.53, 1,024.36 and 427.72 is: 590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.53 : 1,024.36 = 427.72 : x
  2. Step 2: Convert to fraction form
    742.53/1,024.36 = 427.72/x
  3. Step 3: Cross multiply
    742.53x = 1,024.36 × 427.72
  4. Step 4: Simplify right side
    742.53x = 438,139.26
  5. Step 5: Solve for x
    x = 438,139.26/742.53
  6. Step 6: Final answer
    x = 590.06

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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.