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Finding the Fourth Proportional to 706.92, 1,053.57 and 705.84

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Solution

The fourth proportional to 706.92, 1,053.57 and 705.84 is: 1,051.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.92 : 1,053.57 = 705.84 : x
  2. Step 2: Convert to fraction form
    706.92/1,053.57 = 705.84/x
  3. Step 3: Cross multiply
    706.92x = 1,053.57 × 705.84
  4. Step 4: Simplify right side
    706.92x = 743,651.85
  5. Step 5: Solve for x
    x = 743,651.85/706.92
  6. Step 6: Final answer
    x = 1,051.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.