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Finding the Fourth Proportional to 742.69, 1,024.76 and 427.95

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Solution

The fourth proportional to 742.69, 1,024.76 and 427.95 is: 590.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.69 : 1,024.76 = 427.95 : x
  2. Step 2: Convert to fraction form
    742.69/1,024.76 = 427.95/x
  3. Step 3: Cross multiply
    742.69x = 1,024.76 × 427.95
  4. Step 4: Simplify right side
    742.69x = 438,546.04
  5. Step 5: Solve for x
    x = 438,546.04/742.69
  6. Step 6: Final answer
    x = 590.48

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