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Finding the Fourth Proportional to 706.08, 972.90 and 662.34

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Solution

The fourth proportional to 706.08, 972.90 and 662.34 is: 912.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.08 : 972.90 = 662.34 : x
  2. Step 2: Convert to fraction form
    706.08/972.90 = 662.34/x
  3. Step 3: Cross multiply
    706.08x = 972.90 × 662.34
  4. Step 4: Simplify right side
    706.08x = 644,390.59
  5. Step 5: Solve for x
    x = 644,390.59/706.08
  6. Step 6: Final answer
    x = 912.63

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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.