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Finding the Fourth Proportional to 897.29, 1,238.32 and 519.23

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Solution

The fourth proportional to 897.29, 1,238.32 and 519.23 is: 716.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.29 : 1,238.32 = 519.23 : x
  2. Step 2: Convert to fraction form
    897.29/1,238.32 = 519.23/x
  3. Step 3: Cross multiply
    897.29x = 1,238.32 × 519.23
  4. Step 4: Simplify right side
    897.29x = 642,969.67
  5. Step 5: Solve for x
    x = 642,969.67/897.29
  6. Step 6: Final answer
    x = 716.56

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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.