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Finding the Fourth Proportional to 706.85, 1,060.54 and 296.33

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Solution

The fourth proportional to 706.85, 1,060.54 and 296.33 is: 444.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.85 : 1,060.54 = 296.33 : x
  2. Step 2: Convert to fraction form
    706.85/1,060.54 = 296.33/x
  3. Step 3: Cross multiply
    706.85x = 1,060.54 × 296.33
  4. Step 4: Simplify right side
    706.85x = 314,274.39
  5. Step 5: Solve for x
    x = 314,274.39/706.85
  6. Step 6: Final answer
    x = 444.61

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Why These Related Problems?

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