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Finding the Fourth Proportional to 702.11, 1,052.42 and 263.07

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Solution

The fourth proportional to 702.11, 1,052.42 and 263.07 is: 394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.11 : 1,052.42 = 263.07 : x
  2. Step 2: Convert to fraction form
    702.11/1,052.42 = 263.07/x
  3. Step 3: Cross multiply
    702.11x = 1,052.42 × 263.07
  4. Step 4: Simplify right side
    702.11x = 276,864.98
  5. Step 5: Solve for x
    x = 276,864.98/702.11
  6. Step 6: Final answer
    x = 394.33

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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.