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Finding the Fourth Proportional to 706.80, 972.12 and 672.24

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Solution

The fourth proportional to 706.80, 972.12 and 672.24 is: 924.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.80 : 972.12 = 672.24 : x
  2. Step 2: Convert to fraction form
    706.80/972.12 = 672.24/x
  3. Step 3: Cross multiply
    706.80x = 972.12 × 672.24
  4. Step 4: Simplify right side
    706.80x = 653,497.95
  5. Step 5: Solve for x
    x = 653,497.95/706.80
  6. Step 6: Final answer
    x = 924.59

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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.