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Finding the Fourth Proportional to 942.55, 1,297.82 and 837.46

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Solution

The fourth proportional to 942.55, 1,297.82 and 837.46 is: 1,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.55 : 1,297.82 = 837.46 : x
  2. Step 2: Convert to fraction form
    942.55/1,297.82 = 837.46/x
  3. Step 3: Cross multiply
    942.55x = 1,297.82 × 837.46
  4. Step 4: Simplify right side
    942.55x = 1,086,861.66
  5. Step 5: Solve for x
    x = 1,086,861.66/942.55
  6. Step 6: Final answer
    x = 1,153.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.