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Finding the Fourth Proportional to 923.83, 1,275.25 and 629.26

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Solution

The fourth proportional to 923.83, 1,275.25 and 629.26 is: 868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.83 : 1,275.25 = 629.26 : x
  2. Step 2: Convert to fraction form
    923.83/1,275.25 = 629.26/x
  3. Step 3: Cross multiply
    923.83x = 1,275.25 × 629.26
  4. Step 4: Simplify right side
    923.83x = 802,460.65
  5. Step 5: Solve for x
    x = 802,460.65/923.83
  6. Step 6: Final answer
    x = 868.62

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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.