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Finding the Fourth Proportional to 706.72, 1,054.52 and 628.40

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Solution

The fourth proportional to 706.72, 1,054.52 and 628.40 is: 937.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.72 : 1,054.52 = 628.40 : x
  2. Step 2: Convert to fraction form
    706.72/1,054.52 = 628.40/x
  3. Step 3: Cross multiply
    706.72x = 1,054.52 × 628.40
  4. Step 4: Simplify right side
    706.72x = 662,660.37
  5. Step 5: Solve for x
    x = 662,660.37/706.72
  6. Step 6: Final answer
    x = 937.66

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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.