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Finding the Fourth Proportional to 706.06, 1,059.09 and 676.90

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Solution

The fourth proportional to 706.06, 1,059.09 and 676.90 is: 1,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.06 : 1,059.09 = 676.90 : x
  2. Step 2: Convert to fraction form
    706.06/1,059.09 = 676.90/x
  3. Step 3: Cross multiply
    706.06x = 1,059.09 × 676.90
  4. Step 4: Simplify right side
    706.06x = 716,895.37
  5. Step 5: Solve for x
    x = 716,895.37/706.06
  6. Step 6: Final answer
    x = 1,015.35

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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.