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Finding the Fourth Proportional to 702.45, 1,053.54 and 269.64

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Solution

The fourth proportional to 702.45, 1,053.54 and 269.64 is: 404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.45 : 1,053.54 = 269.64 : x
  2. Step 2: Convert to fraction form
    702.45/1,053.54 = 269.64/x
  3. Step 3: Cross multiply
    702.45x = 1,053.54 × 269.64
  4. Step 4: Simplify right side
    702.45x = 284,076.53
  5. Step 5: Solve for x
    x = 284,076.53/702.45
  6. Step 6: Final answer
    x = 404.41

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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.