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Finding the Fourth Proportional to 742.58, 1,024.30 and 443.63

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Solution

The fourth proportional to 742.58, 1,024.30 and 443.63 is: 611.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.58 : 1,024.30 = 443.63 : x
  2. Step 2: Convert to fraction form
    742.58/1,024.30 = 443.63/x
  3. Step 3: Cross multiply
    742.58x = 1,024.30 × 443.63
  4. Step 4: Simplify right side
    742.58x = 454,405.07
  5. Step 5: Solve for x
    x = 454,405.07/742.58
  6. Step 6: Final answer
    x = 611.93

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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.