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Finding the Fourth Proportional to 770.71, 1,060.91 and 672.30

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Solution

The fourth proportional to 770.71, 1,060.91 and 672.30 is: 925.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.71 : 1,060.91 = 672.30 : x
  2. Step 2: Convert to fraction form
    770.71/1,060.91 = 672.30/x
  3. Step 3: Cross multiply
    770.71x = 1,060.91 × 672.30
  4. Step 4: Simplify right side
    770.71x = 713,241.13
  5. Step 5: Solve for x
    x = 713,241.13/770.71
  6. Step 6: Final answer
    x = 925.43

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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.