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Finding the Fourth Proportional to 835.56, 1,254.96 and 706.68

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Solution

The fourth proportional to 835.56, 1,254.96 and 706.68 is: 1,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    835.56 : 1,254.96 = 706.68 : x
  2. Step 2: Convert to fraction form
    835.56/1,254.96 = 706.68/x
  3. Step 3: Cross multiply
    835.56x = 1,254.96 × 706.68
  4. Step 4: Simplify right side
    835.56x = 886,855.13
  5. Step 5: Solve for x
    x = 886,855.13/835.56
  6. Step 6: Final answer
    x = 1,061.39

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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.