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Finding the Fourth Proportional to 873.65, 1,205.45 and 519.51

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Solution

The fourth proportional to 873.65, 1,205.45 and 519.51 is: 716.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.65 : 1,205.45 = 519.51 : x
  2. Step 2: Convert to fraction form
    873.65/1,205.45 = 519.51/x
  3. Step 3: Cross multiply
    873.65x = 1,205.45 × 519.51
  4. Step 4: Simplify right side
    873.65x = 626,243.33
  5. Step 5: Solve for x
    x = 626,243.33/873.65
  6. Step 6: Final answer
    x = 716.81

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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.