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Finding the Fourth Proportional to 742.41, 1,024.88 and 672.21

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Solution

The fourth proportional to 742.41, 1,024.88 and 672.21 is: 927.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.41 : 1,024.88 = 672.21 : x
  2. Step 2: Convert to fraction form
    742.41/1,024.88 = 672.21/x
  3. Step 3: Cross multiply
    742.41x = 1,024.88 × 672.21
  4. Step 4: Simplify right side
    742.41x = 688,931.22
  5. Step 5: Solve for x
    x = 688,931.22/742.41
  6. Step 6: Final answer
    x = 927.97

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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.