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Finding the Fourth Proportional to 706.71, 1,060.27 and 398.77

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Solution

The fourth proportional to 706.71, 1,060.27 and 398.77 is: 598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.71 : 1,060.27 = 398.77 : x
  2. Step 2: Convert to fraction form
    706.71/1,060.27 = 398.77/x
  3. Step 3: Cross multiply
    706.71x = 1,060.27 × 398.77
  4. Step 4: Simplify right side
    706.71x = 422,808.43
  5. Step 5: Solve for x
    x = 422,808.43/706.71
  6. Step 6: Final answer
    x = 598.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.