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Finding the Fourth Proportional to 701.03, 1,049.48 and 469.35

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Solution

The fourth proportional to 701.03, 1,049.48 and 469.35 is: 702.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.03 : 1,049.48 = 469.35 : x
  2. Step 2: Convert to fraction form
    701.03/1,049.48 = 469.35/x
  3. Step 3: Cross multiply
    701.03x = 1,049.48 × 469.35
  4. Step 4: Simplify right side
    701.03x = 492,571.09
  5. Step 5: Solve for x
    x = 492,571.09/701.03
  6. Step 6: Final answer
    x = 702.64

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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.