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Finding the Fourth Proportional to 1,234.13, 1,702.82 and 762.54

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Solution

The fourth proportional to 1,234.13, 1,702.82 and 762.54 is: 1,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.13 : 1,702.82 = 762.54 : x
  2. Step 2: Convert to fraction form
    1,234.13/1,702.82 = 762.54/x
  3. Step 3: Cross multiply
    1,234.13x = 1,702.82 × 762.54
  4. Step 4: Simplify right side
    1,234.13x = 1,298,464.55
  5. Step 5: Solve for x
    x = 1,298,464.55/1,234.13
  6. Step 6: Final answer
    x = 1,052.13

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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.