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Finding the Fourth Proportional to 949.56, 1,423.74 and 706.04

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Solution

The fourth proportional to 949.56, 1,423.74 and 706.04 is: 1,058.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.56 : 1,423.74 = 706.04 : x
  2. Step 2: Convert to fraction form
    949.56/1,423.74 = 706.04/x
  3. Step 3: Cross multiply
    949.56x = 1,423.74 × 706.04
  4. Step 4: Simplify right side
    949.56x = 1,005,217.39
  5. Step 5: Solve for x
    x = 1,005,217.39/949.56
  6. Step 6: Final answer
    x = 1,058.61

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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.