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Finding the Fourth Proportional to 833.70, 1,150.30 and 518.48

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Solution

The fourth proportional to 833.70, 1,150.30 and 518.48 is: 715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.70 : 1,150.30 = 518.48 : x
  2. Step 2: Convert to fraction form
    833.70/1,150.30 = 518.48/x
  3. Step 3: Cross multiply
    833.70x = 1,150.30 × 518.48
  4. Step 4: Simplify right side
    833.70x = 596,407.54
  5. Step 5: Solve for x
    x = 596,407.54/833.70
  6. Step 6: Final answer
    x = 715.37

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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.