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Finding the Fourth Proportional to 702.56, 1,052.94 and 291.44

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Solution

The fourth proportional to 702.56, 1,052.94 and 291.44 is: 436.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.56 : 1,052.94 = 291.44 : x
  2. Step 2: Convert to fraction form
    702.56/1,052.94 = 291.44/x
  3. Step 3: Cross multiply
    702.56x = 1,052.94 × 291.44
  4. Step 4: Simplify right side
    702.56x = 306,868.83
  5. Step 5: Solve for x
    x = 306,868.83/702.56
  6. Step 6: Final answer
    x = 436.79

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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.