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Finding the Fourth Proportional to 706.11, 974.07 and 612.72

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Solution

The fourth proportional to 706.11, 974.07 and 612.72 is: 845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.11 : 974.07 = 612.72 : x
  2. Step 2: Convert to fraction form
    706.11/974.07 = 612.72/x
  3. Step 3: Cross multiply
    706.11x = 974.07 × 612.72
  4. Step 4: Simplify right side
    706.11x = 596,832.17
  5. Step 5: Solve for x
    x = 596,832.17/706.11
  6. Step 6: Final answer
    x = 845.24

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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.