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Finding the Fourth Proportional to 702, 967.41 and 505.17

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Solution

The fourth proportional to 702, 967.41 and 505.17 is: 696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    702 : 967.41 = 505.17 : x
  2. Step 2: Convert to fraction form
    702/967.41 = 505.17/x
  3. Step 3: Cross multiply
    702x = 967.41 × 505.17
  4. Step 4: Simplify right side
    702x = 488,706.51
  5. Step 5: Solve for x
    x = 488,706.51/702
  6. Step 6: Final answer
    x = 696.16

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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.