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Finding the Fourth Proportional to 923.70, 1,275.08 and 629.13

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Solution

The fourth proportional to 923.70, 1,275.08 and 629.13 is: 868.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    923.70 : 1,275.08 = 629.13 : x
  2. Step 2: Convert to fraction form
    923.70/1,275.08 = 629.13/x
  3. Step 3: Cross multiply
    923.70x = 1,275.08 × 629.13
  4. Step 4: Simplify right side
    923.70x = 802,192.72
  5. Step 5: Solve for x
    x = 802,192.72/923.70
  6. Step 6: Final answer
    x = 868.45

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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.