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Finding the Fourth Proportional to 701.94, 967.23 and 536.16

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Solution

The fourth proportional to 701.94, 967.23 and 536.16 is: 738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.94 : 967.23 = 536.16 : x
  2. Step 2: Convert to fraction form
    701.94/967.23 = 536.16/x
  3. Step 3: Cross multiply
    701.94x = 967.23 × 536.16
  4. Step 4: Simplify right side
    701.94x = 518,590.04
  5. Step 5: Solve for x
    x = 518,590.04/701.94
  6. Step 6: Final answer
    x = 738.80

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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.