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Finding the Fourth Proportional to 701.36, 967.80 and 505.28

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Solution

The fourth proportional to 701.36, 967.80 and 505.28 is: 697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.36 : 967.80 = 505.28 : x
  2. Step 2: Convert to fraction form
    701.36/967.80 = 505.28/x
  3. Step 3: Cross multiply
    701.36x = 967.80 × 505.28
  4. Step 4: Simplify right side
    701.36x = 489,009.98
  5. Step 5: Solve for x
    x = 489,009.98/701.36
  6. Step 6: Final answer
    x = 697.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.