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Finding the Fourth Proportional to 873.15, 1,205.10 and 518.91

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Solution

The fourth proportional to 873.15, 1,205.10 and 518.91 is: 716.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.15 : 1,205.10 = 518.91 : x
  2. Step 2: Convert to fraction form
    873.15/1,205.10 = 518.91/x
  3. Step 3: Cross multiply
    873.15x = 1,205.10 × 518.91
  4. Step 4: Simplify right side
    873.15x = 625,338.44
  5. Step 5: Solve for x
    x = 625,338.44/873.15
  6. Step 6: Final answer
    x = 716.19

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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.