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Finding the Fourth Proportional to 706.30, 974.15 and 626.65

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Solution

The fourth proportional to 706.30, 974.15 and 626.65 is: 864.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.30 : 974.15 = 626.65 : x
  2. Step 2: Convert to fraction form
    706.30/974.15 = 626.65/x
  3. Step 3: Cross multiply
    706.30x = 974.15 × 626.65
  4. Step 4: Simplify right side
    706.30x = 610,450.23
  5. Step 5: Solve for x
    x = 610,450.23/706.30
  6. Step 6: Final answer
    x = 864.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.