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Finding the Fourth Proportional to 937.56, 1,406.42 and 706.89

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Solution

The fourth proportional to 937.56, 1,406.42 and 706.89 is: 1,060.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.56 : 1,406.42 = 706.89 : x
  2. Step 2: Convert to fraction form
    937.56/1,406.42 = 706.89/x
  3. Step 3: Cross multiply
    937.56x = 1,406.42 × 706.89
  4. Step 4: Simplify right side
    937.56x = 994,180.70
  5. Step 5: Solve for x
    x = 994,180.70/937.56
  6. Step 6: Final answer
    x = 1,060.39

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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.