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Finding the Fourth Proportional to 702.44, 1,053.41 and 263.59

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Solution

The fourth proportional to 702.44, 1,053.41 and 263.59 is: 395.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.44 : 1,053.41 = 263.59 : x
  2. Step 2: Convert to fraction form
    702.44/1,053.41 = 263.59/x
  3. Step 3: Cross multiply
    702.44x = 1,053.41 × 263.59
  4. Step 4: Simplify right side
    702.44x = 277,664.39
  5. Step 5: Solve for x
    x = 277,664.39/702.44
  6. Step 6: Final answer
    x = 395.29

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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.